What option is the same as 1/5^-3? A. -1/125 B. -1/15 C. 15 D. 125

Answers

Answer 1

Answer:

D. 125

Step-by-step explanation:

Given

[tex](\frac{1}{5})^{-3}[/tex]

Required

Find Equivalent

From law of indices

[tex](\frac{1}{a})^{-x} = \frac{1}{(\frac{1}{a})^{x}}[/tex]

So,

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{5})^{3}}[/tex]

Expand denominator

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{5})*(\frac{1}{5})*(\frac{1}{5})}}[/tex]

[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{125})}}[/tex]

Split expression on the right and side

[tex](\frac{1}{5})^{-3} = 1/{(\frac{1}{125})}}[/tex]

Convert divide (/) to multiplication (*)

[tex](\frac{1}{5})^{-3} = 1*{(\frac{125}{1})}}[/tex]

[tex](\frac{1}{5})^{-3} = 1*125[/tex]

[tex](\frac{1}{5})^{-3} = 125[/tex]

Hence, [tex](\frac{1}{5})^{-3}[/tex] is equivalent to 125


Related Questions

The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will 3:4. Find their present ages..................pls help me

Answers

Answer: 8:11

Step-by-step explanation:

5 and 3 is Hari's ages.

5+3=8 (Now Hari is 8 ages)

7 and 4 is Harry's ages.

7+4=11 (Now Harry is 11 ages)

Ratio is 8:11

Answer:

Harry is 11 and Hari is 8

Step-by-step explanation:

5:7+3:4=8 and 11

The chemicals in my swimming pool use a ratio of 2 tablets of chlorine for every 5 days. Which ratio shows the number of chlorine tablets needed for 20 days? A. 5 to 20 B. 8 to 20 C. 7 to 20 D. 3 to 20

Answers

Answer:

The answer would be B. 8 to 20

Step-by-step explanation:

You use 2 tablets per 5 days and there are 20 days 5/20=4 4 times you need to add tablets 4 times 2 is 8 which would make the ratio 8 to 20. Hope this helped. :)

Answer:

B

Step-by-step explanation:

Works on edge 2021

The dot plots show exam scores for 25 students. Which exam has an outlier?
Is my answer correct?

Answers

Answer:

yes of course it is correct good job

Answer:

yes your answer is correct

If Takeshi adds his weight to 250 pounds, he gets 403 pounds. How much does Takeshi weigh?

Answers

Answer:

153 pounds

Step-by-step explanation:

Just subtract 250 from 403

Answer:

takeshi weights 153 pounds

Step-by-step explanation:

403 - 250

The figure shows a carpeted room. How many square feet of the room is carpeted?

Answers

Answer:

40

Step-by-step explanation:

So split it into two shapes. Two rectangles.

Rectangle 1 = 4 * 5 = 20

Rectangle 2 = 2 * 10 = 20

20 + 20 = 40

Answer:

40 square feet

Step-by-step explanation:

we can cut the carpeted space into 2 parts for easier calculation.

we can do 4 x 5 to find the first part, which equals to 20 square feet.

then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.

Just add up both of the calculations(20 +20) then you'll get your answer!

the answer is 40 square feet.

Hope this helps and you understand now!

If a man weighs 300 pounds on​ Earth, his mass on Earth is 136 kilograms. What would his mass be if he was on the moon?

Answers

You weigh 83.5% less on the moon
Therefore 16.5% of 300 pounds is 49.5 pounds and that in kilograms is 22kilograms

What is the measure of ED (the minor arc) in the diagram below?
HELPPP ASAP PLS

Answers

Answer:

C

Step-by-step explanation:

The measure of the inscribed angle DEF is half the measure of its intercepted arc, that is

[tex]\frac{1}{2}[/tex] ∠ DEF = arc ED , that is

arc ED = 2 × 78° = 156°  → C

 

Option c 156 is correct.

Angle of the arc at tangent EF = 78

What is area circle?

Area of circle is given by the pie times square of radius.

Since Angle made by chord with tangent is equal to halve the angle made by cord with its radius.
So

2 ∡DEF = measure of arc ED
= 2 x 78

= 156

Thus, the measure of are ED is 156°

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

answer please need help and is struggling

Answers

Answer:

q < 5

Step-by-step explanation:

Since there is an open circle it means there is no equal sign

The line goes to the left so it is less then q < 5

Answer:

q<5

Step-by-step explanation:

The sign is < because the arrow is point left and has an open circle. 5 because that is where the arrow starts.

Place the following values in order from least to greatest: 3/4, 0.7, 4/5, 65.5%, 0.72

Answers

Answer:

4/5, 3/4, 0.72, 0.70, %65.5

Step-by-step explanation:

65.5/100=0.655

Please help! Read the question below!

Answers

Answer:1 quarter, 2 dimes and 1 nickel, 5 nickels, 3 nickels and 1 dime

Step-by-step explanation:

Sorry but I’m answering this so I can post my question :)

Vivian worked 19 hours more than Malik last month. If Vivian worked 7 hours for every 2 hours that Malik worked, how many hours did they each work? Note: these are proportion problems

Answers

Answer:

Malik 7.6

Vivian 26.6

Step-by-step explanation:

Vivian is working at the rate of 7hrs per 2 hours so basically 3.5hrs per hour Malik worked. In equation, it looks like:

V=3.5m where M is the number of hours Malik worked.

We know Vivian works 19 more hours than Malik and that in equation would be:

m+19 = V

So equate the two

3.5m = m+19

3.5m-m=19

2.55m=19

m=7.6

V=7.6+19 = 26.6

what is 9y5−4y3−8y7−5y6+3y4 written in standard form?

Answers

Answer:

-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3

Step-by-step explanation:

Please be sure to use " ^ " to indicate exponentiation.  Then,

your 9y5−4y3−8y7−5y6+3y4 becomes 9y^5 - 4y^3 - 8y^7 - 5y^6 + 3y^4.

We must now write that in descending order by powers of y:

-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3

Graph the line that has a slope of 1/6 and includes the point (0, 7).

Answers

and make sure you graph the 7 on the y axis- the person above explained it pretty well

What is a slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. It is denoted my letter 'm'

                                               y = m x + c

m is the slope

Given data ,

Let the point be P ( x , y ) = P ( 0 , 7 )

Slope m of line = 1 / 6

The equation of line where the point P ( 0 , 7 ) and slope 1/6 is calculated by

y = m x + c

Substitute the values of x and y in the equation , we get

7 = ( 1/6 ) × 0 + c

So , c = 7

Therefore , the equation becomes y = ( 1 / 6 ) x + 7

Hence , the graph of the equation can be described

A skier slides down a 750 m slope in 12.5 s. What is the average
velocity for the trip?

Answers

Answer:

The average velocity for the skier is exactly 60 meters per second.

Step-by-step explanation:

Divide the distance which is 750 meters and 12.5 seconds and you get 60 meters per second. Velocity formula --> 750 meters / 12.5 seconds = 60 m/seconds.

Plz mark brainliest if u r cool

_____________________________ for the trip

True or False?
When multiplying powers with the same base, you subtract the exponents. When dividing powers with the same base, you multiply the exponents. When raising a power to a power, you divide the exponents? EXPLAIN YOUR REASONING

Answers

Answer:

False

Step-by-step explanation:

(x^3)(x^4) = (xxx)(xxxx) = x^7 when multiplying you add the exponents

(x^5)÷(x^2) = (xxxxx)÷(xx) = xxx or x^3 because two of the x's reduce therefore when dividing you subtract the exponents

(x^2)^3 = (x^2)(x^2)(x^2) = (xx)(xx)(xx) = x^6 when raising a power to a power you multiply the exponents

Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)

Answers

The simplest polynomial expression is

-26x^2+56x-15

Answer: -26x^2 + 56x -15

Step-by-step explanation:

3x(-2x + 7) - 5(x -1) (4x -3)

-6x^2 + 21x - (5x + 5)(4x-3)

-6x^2 + 21x -20x^2 +15x + 20x -15

= -26x^2 + 56x -15

Find f(2) if f(x)=(x+1)^2
a. 9
b. 6
c. 5​

Answers

Answer:

a. 9

Step-by-step explanation:

If f is at 2, then you subsitute anywhere that an x is with a 2. So in this particular equation we get

f(2) = (2+1)^2

f(2) = (3)^2

f(2) = 9

the answer is A.


hope this helps!!

I need help solving this asap

Answers

Answer:

the answer will be A

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3+4x)(3-4x)=
THIS IS SO HARD IM GOING CRAZY !!!!!!!!!!!!

Answers

Step-by-step explanation:

Actually, it isn't that hard. Remember the difference of squares? (a + b)(a - b) = a² - b² and in this case 9 is a and 4x is b so our answer is 81 - 16x².

Answer:

9 - 16x²

Step-by-step explanation:

(3+4x)(3-4x)= 3²- (4x)²= 9 - 16x²

Why do some quadratic graphs move left or right and others do not? Is there a correlation between this and them moving up and down? How would you demonstrate your reasoning is correct?

Answers

Answer:

(x + 3)^2 is left 3 because it becames 0 at -3

(x - 3)^2 is right 3  because it becames 0 at 3

x^2 +3 is up 3  because your just adding 3 units up

x^2 - 3 is down 3 because your just subtracting 3 units down

Step-by-step explanation:

17n=0.5n what is the value of n

Answers

Answer:

N=0

Step-by-step explanation:

If we wanted to answer the question mathematically, we could solve like so:

17n=0.5n

17n-0.5n=0.5n-0.5n

16.5n=0

n=0

Which of the following is a rational function?

Answers

Answer:

the answer is A

Step-by-step explanation:

a rational function is a ratio of two polynomial that has a denominator and numerator and can not be zero

.
The table below shows the fees David
charges for yard work.
David's Yard Work Fees
Hours
2
4
6
Fee ($)
70
140
210
How much money does David charge for
yard work that takes 4.5 hours?

Answers

Find out how much David chargers for one hour.
That is 70÷2 which gives you 35.
Then multiply 4.5 hours by 35
your answer will be $157.5

In the notation "s(x) = ...," what does "s(x)" represent?
A.
The value of x depends on the value of s(x), since xis a function of s.
OB.
There is not enough information to answer this question.
C.
The value found when sis multiplied by the value x.
D.
The value of s(x) depends on the value of x, since s is a function of x.

Answers

Answer:

C

Step-by-step explanation:

I think

plz do them both since ur here now

Answers

Answer:

19 is d 26 is c 27 is b

Step-by-step explanation:

pls pls pls pls help

Answers

Answer:

the answer is option A

Step-by-step explanation:

Help! Please show work and identify the solution or how many solutions there are to the system

Answers

Answer:

Step-by-step explanation:

the two given lines are parallel.

Hence they do not intersect.

or they have no solution.

Haley and her 4 friends decide to go out to dinner at Applebee's. The bill for their table came to $65.30. If they want to split
the bill evenly between them, how much will each person pay?

Answers

Answer:

$13.06

Step-by-step explanation:

There are five people so 65.30/5 = 13.06

Which of these values could be the slope of the line? Select
two options.
-2
-8/5
0
7/4
3​

Answers

Answer:7/4 and 3

Step-by-step explanation:

Just took the test

Answer:

I think that the answer is D E

reduce to simplest form -1/3-(-3/5)

Answers

Answer:

4/15

Step-by-step explanation:

-1/3-(-3/5)

Subtracting a negative is like adding

-1/3 + 3/5

We need to get a common denominator of 15

-1/3 *5/5    + 3/5 *3/3

-5/15     + 9/15

4/15

Answer:

4/15

Step-by-step explanation:

-1/3 + 3/5 (2 negatives make a positive)

Taking the lowest common multiple, we get:

= (- 5 + 9)/15

= 4/15

Hope this helps!

Other Questions
what is the x-intercept of the line 10x-5y=40 Which situation describes a historian using a rhetoric The Maori are the native population of Help! Look at the picture help please! our existing body of scientific knowledge was developed Which might be the most effective visual aid or multimedia to use with a speech about how to play soccer?A. a web page for a famous playerB. music from the OlympicsC. a video clip of an interview with a famous playerD. a slide show presenting rules and strategies of the game15 points + Brainliest AssignmentUse the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.f(-1) =f(1) =f(2)=> Which best describes the purpose of Stalins Five-Year Plans for Russia?A. to increase freedoms within the Soviet UnionB. to eliminate his political enemiesC. to accelerate industrial productionD. to establish the Politburo Were you surprised by the shape of your scatter plot? Explain.Do you think there might be other factors that influence the association between the variables?If you switched which axis each variable is graphed on, would your scatter plot look different? Describe and interpret the association between the variables. answer quick pls ill give 10 Consider the market for iced coffee. Suppose that the price of an iced coffee falls from $4.25 to $3.50. Assuming that the point on the graph below corresponds to the initial price of $4.25, move the point to a new position on the curve to show the impact of this price change (holding everything else constant). A semipermeable sac containing 4% NaCl, 9% glucose, and 10% albumin is suspended in a solution with the following composition: 10% NaCl, 10% glucose, and 40% albumin. Assume that the sac is permeable to all substances except albumin. State whether each of the following will (a) move into the sac, (b) move out of the sac, or (c) not move.glucose: a. moves into sacwater: b. moves out of sacalbumin: c; does not moveNaCl: a; moves into sac A particle leaves the origin with a speed of 3.6 106 m/s at 34 degrees to the positive x axis. It moves in a uniform electric field directed along positive y axis. Find Ey such that the particle will cross the x axis at x I need help people please help me In which space, outdoors or in your classroom, would it be easier to hear a musician? Explain help me please i need this done b2 - 7b + 12 = 0Factored equation: ( ) ( ) = 0 ANSWERS: b = ____, and b = ____ 8 - n = -4 what does N equal Ana Maria has applied for United States citizenship. She has studied American history and government for a long time and thinks she is ready to take the citizenship test. When she took the practice test online she answered forty-seven questions correctly and only missed three. What percent of the questions did she get right? angle x is coterminal with gale y. if the measure of angle x is greater than the measure of angle y which statement is true regarding the values of x and y