which law would you use to simplify the expression 3^10/3^4

Answers

Answer 1

Answer:

I would use the "quotient rule of exponents"

Step-by-step explanation:

I would use the "quotient rule of exponents" which states that to divide two exponents that have the same base, the result is the same base to an exponent which equals the subtraction of the exponent in the numerator of the original expression minus the exponent that base has in the denominator.

That is:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

Then in this case the simplified expression would be:

[tex]\frac{3^{10}}{3^4} =3^{10-4}=3^6[/tex]

Answer 2

Answer: quotient of powers

Step-by-step explanation:


Related Questions

-1 1/8 - 5/8 answer plz

Answers

Answer:

-1 6/8

Step-by-step explanation:

Answer:

-2 answer this is 100% correct

Step-by-step explanation:

Match each logarithm to its value

Answers

Answer:

D

C

B

A

Step-by-step explanation:

In the picture ⬆️

Llllllllllllllllllllll

Please answer correctly !!!!!! Will mark brainliest Answer !!!!!!!!!!!

Answers

Answer:

45 meters

Step-by-step explanation:

graph the equation and find the y-intercept

Devin walked 4.5 miles. There are approximately 1.6 kilometers in 1 mile.
How many kilometers did Devin walk, rounded to the nearest tenth?

Answers

Answer:

Approximately 7.2 kilometers

Step-by-step explanation:

4.5(miles walked)*1.6(kilometers in mile)=7.2(kilometers in 4.5 miles)

Answer:

7.2 kilometres

Step-by-step explanation:

4.5 * 1.6

A number cube labeled 1 through 6 is rolled. Find the probability that the cube lands on a number less than 5

Answers

Answer:

2/3

Step-by-step explanation:

The number cube has 6 faces labelled 1 - 6.

There are 4 numbers less than 5 (1, 2, 3, 4).

Therefore, the probability that the cube lands on a number less than 5 is:

4/6 = 2/3

Can anybody help me.

Answers

Answer:

1st one

Step-by-step explanation:

The perimeter of the triangle shown is 40 meters. Write an equation to represent the
perimeter and then solve for the value n.


The sides of the triangle are 11m, (2n+3)m and 16m

Answers

Answer:

15m

Step-by-step explanation:

perimeter=total distance round a figure

40m=11m+16m+2n+3m

40m=30m+2n

50m-30m=2n. 30=2n. (divide both sides by 2 to get). n=15m

11m-14<7m+14 work out

Answers

Step-by-step explanation:

11m - 7m < 14 + 14

4m < 28

m < 28 / 4

m < 7

Letters w, x, y, and z are angle measures. Lines r and s are intersected by line m. At the intersection of lines m and r, clockwise from the top, the angles are w, x, blank, blank. At the intersection of lines m and x, clockwise from the top, the angles are: 92 degrees, y, z, blank. Which should equal 92° to prove that r ∥ s? w x y z

Answers

Answer: Angle w and angle z should equal 92° to prove that r║s

Step-by-step explanation: Let us start by constructing the lines r and s, and then draw a transversal to intersect both lines as stated in the question. At the intersection of lines m and r, we have clockwise from the top angles w, x and the other two blank. This is as shown in the picture attached.

Also at the intersection of lines m and s, clockwise from the top, the angles are 92, y, z and a blank. This is also clearly marked in the picture attached.

If the two lines r and s are parallel, then it means;

(1) Angle 92 is equal to angle z (opposite angles are equal)

(2) Angle z is equal to the blank underneath angle x (corresponding angles on two parallel lines are equal)

(3) Angle 92 is equal to the blank underneath angle x (alternate angles on two parallel lines are equal)

(4) Angle 92 is equal to angle w (corresponding angles on two parallel lines are equal)

Therefore, of all four angles marked as w, x, y and z angles w and z should equal 92° to prove that line r is parallel to line s.

Answer:

Its W i took the test and got a 100

10x + 8 = 3(x - 2)
10x + 8 = 3x

Answers

Answer:

1) -2

2) 8/7

Step-by-step explanation:

1) 10x+8=3(x-2)

  10x+8=3x-6

  10x-3x=-6-8

  7x=-14

  x=-2

2) 10x+8=3x

   10x-3x=8

   7x=8

   x=8/7

Hope it helps

How many unique triangles can be made when one angle measures 90° and another angle is half that measure? 1 2 More than 2 None

Answers

Answer:

1

Step-by-step explanation:

I'm not sure if I read your question right, but if one angle is 90 and the other should be half the angle 90, the other angle must be 45. Thus, this would create a 45-45-90 triangle. There is no other possibility if one of the angles must be half that of the 90 degree angle.

Answer:

1

Step-by-step explanation:

True or false all integers are rational

Answers

Answer:

The answer is True

Step-by-step explanation:

All rational numbers are integers

Plz answer fast and help mr

Answers

Answer:

The median is 47

Step-by-step explanation:

that line in the middle of the box is directly on 47

Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)=145(0.95)t.

Drag and drop the answer to the boxes below to complete the sentence.

145, 0.95
a decrease of, an increase of
5%, 45%, 95%

The rate of change in the value of the guitar is modeled by _____, which represents _____________ ______ per year.

Answers

Answer: The rate of change in the value of the guitar is modeled by 0.95, which represents a decrease of 5% per year.

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential decay function:  

A = P (1 - r) t  

Where:  

p = original price

r = decrease rate (decimal form)  

t= years  

A = price after t years  

Replacing with the values given:  

A(t)=145(0.95)t.

Where

0.95 = 1-r

0.95-1 = r

-0.05 =-r

0.05 =r

Converting to percentage form:

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.  

A swimming pool has length of 100 meters a width of 25 meters and depth of 4 meters throughout the whole pool . How much water can fill the pool?

Answers

Answer:

100 x 25 x 4 = 10000[tex]m^{3}[/tex]

Step-by-step explanation:

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot: 1 + x squared, 2 negative x, 6 negative. What is this function written in vertex form? f(x) = (x –1)2 – 7 f(x) = (x +1)2 – 7 f(x) = (x –1)2 – 5 f(x) = (x +1)2 – 5

Answers

Answer: A on Edge

Step-by-step explanation:

f(x) = (x –1)2 – 7

Answer:

A

Step-by-step explanation:

Find the greatest common factor of 30 and 75.

Answers

Answer:

15

Step-by-step explanation:

prime factorization of 30 is 2*3*5

prime factorization of 75 is 3*5*5

3*5 is common

Judging from past basketball games, the probability that you make a free throw is 4/5. If you get 220 attempts this season, how many free throws can you expect to make?

Answers

Answer: 176 free throws

Step-by-step explanation: 4/5 = 80% 80% of 220 = 176

Which of the following is a solution of y > Ixl - 6?
O (5, -1)
O (-1,-5)
O (-5, 1)

Answers

Answer:

i think its the first option

Step-by-step explanation:

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

Answers

Answer:

Step-by-step explanation:

If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.

Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.

Hope that helped,

-sirswagger21

help for brainetest pls

Answers

Answer:

9 554/603

Step-by-step explanation:

If you add 2/6 and 8/9 you get 554/603. You could try simplifying this answer just to check but I don't think you can simplify it.

Answer:

10  2/9

Step-by-step explanation:

If cot x=v3, calculate (sin x)(cos x)-cos²x

Answers

Answer:

[tex]sin(x)\,cos(x)-cos^2(x)=\frac{\sqrt{3} -3}{4}[/tex]

Step-by-step explanation:

Recall the Pythagorean identity for cotangent:

[tex]1+cot^2(x)=csc^2(x)[/tex]

where the cosecant is the reciprocal of the sine function. So, since we know the value of the cotangent of the angle, we can derive the value of the square of the sine:

[tex]1+cot^2(x)=csc^2(x)\\1+(\sqrt{3})^2=\frac{1}{sin^2(x)} \\1+3=\frac{1}{sin^2(x)} \\4=\frac{1}{sin^2(x)}\\sin^2(x)=\frac{1}{4}\\ sin(x)=+/-\frac{1}{2}[/tex]

We can also use the Pythagorean identity for sin and cos, to find the value of [tex]cos^2(x)[/tex] and of cos(x):

[tex]cos^2(x)=1-sin^2(x)\\cos^2(x)=1-\frac{1}{4} \\cos^2(x)=\frac{3}{4}\\cos(x)=+/-\frac{\sqrt{3}}{2}[/tex]

We also notice that since the cotangent is positive, the angle "x" must be located in either the firs or the third quadrant, where both sine and cosine have the same sign (both positive in the first quadrant, and both negative in the third quadrant.

Then the requested quantity can be written as:

[tex]sin(x)\,cos(x)-cos^2(x)=(\frac{1}{2}) \,\frac{\sqrt{3} }{2} -\frac{3}{4} =\frac{\sqrt{3} }{4} -\frac{3}{4}=\frac{\sqrt{3}-3 }{4}[/tex]

Aubrey is putting flooring in a room that is 13 feet long and 10 feet wide. The flooring costs ​$4.00 per square foot. How much will the flooring for the room​ cost?

Answers

Answer: $520


Explanation: We can tell that this is an area problem from the mention of the square foot and from the simple fact that only area would cover the whole room.

The floor is a rectangle and the formula for area of a rectangle is A=lw.

13*10 is 130.

When you multiply this by 4, you get 520.

whoever gets done faster wins

Answers

Answer:

2%

Step-by-step explanation:

Answer:2%

Solution

0.02*100%

=2%

hope it helps...

Good luck on your assignment

Simplify C^5 x c
Plz can someone figure it out cuz I don’t get it

Answers

Answer:

c^6

Step-by-step explanation:

So, c is the same as c^ 1 ... therefore

c^5 x c

= c^5 x c^1

When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1

So c^5 x c^1

= c^(5+1)

= c^6

This is the simplest form

Answer: c⁶

Step-by-step explanation:

Notes: A variable without a given exponent has an "invisible" exponent of 1.

When multiplying two values with the same base, add the exponents.

[tex]\bold{c^5 \times c\qquad \rightarrow \quad c^5 \times c^1\quad =\quad c^{5+1}\quad = \large\boxed{c^6}}[/tex]

Write each statement as an algebraic expression.The quotient of the number that is 1 greater than a number b and the number that is twice as large as b.

Answers

(b+1)/2b

quotient = divided by

we're dividing a number that is 1 more than b (b + 1), with a number twice as large as b (2b).

. Joanne does a daily walk from building P to building Q. Given point P(6,9) and point Q(5,-4), what is the distance between points P and Q on this campus map of the local college?

Answers

Answer:

The distance between points P and Q on this campus map of the local college is 13.038 units

Step-by-step explanation:

We are given that Joanne does a daily walk from building P to building Q

[tex]P=(x_1,y_1)=(6,9)\\Q = (x_2,y_2)=(5,-4)[/tex]

We are supposed to find the distance between points P and Q on this campus map of the local college

We will use distance formula :

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the values in the formula .

[tex]d=\sqrt{(5-6)^2+(-4-9)^2}\\d=13.038[/tex]

Hence the distance between points P and Q on this campus map of the local college is 13.038 units

Answer:

13 feet

Step-by-step explanation:

We use the distance formula:

Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

help me please it’s on spheres thankyou

Answers

Answer:

452.3893421 cm^2

452.4 (to one decimal place)

Step-by-step explanation:

Radius (r) - 6cm

The surface area of sphere = 4pi r^2

therefore:

4 * pi * 6^2

4 * pi * 36

144 * pi

452.3893421 cm^2

452.4 (to one decimal place)

Answer:

Surface area = 452,4

Step-by-step explanation:

radius = 6 cm

Surface area = 4πr²

Surface area = 4(3.1416)(6)²

Surface area = 12.5664 (36)

Surface area = 452, 3904

Surface area = 452,4

Pedro walks his dog around Ray D. Hall Park. Jessica walks her dog around Rex Tangle Park. Pedro contends that he walks his dog a longer distance than Jessica walks her dog. Jessica contends the opposite. To settle their debate, they find satellite images of both parks and juxtapose them on a single coordinate grid (shown below). The perimeter of Ray D. Hall Park is \text{m}mstart text, m, end text. Round the final answer to the nearest meter. Do not round intermediate calculations. The perimeter of Rex Tangle Park is \text{m}mstart text, m, end text. Round the final answer to the nearest meter. Do not round intermediate calculations. Who should win the debate?

Answers

Answer:

the perimeter of Ray D. Hall park is 377 m

and the perimeter of Rex Tangle park is 400 m

and Jessica's walk is longer.

Step-by-step explanation:

picture chart is below


The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had three or more absences during the first quarter?



Thanks for all correct answers

Answers

Answer:

11%

Step-by-step explanation:

this is simple because there are 4 parts of the pie chart, and we are given 3. the one we don't know we will call x. Since its percents, we know that all of the percents will add up to 100, so we can write an equation.

45 + 23 + 21 + x = 100

to solve, you can subtract 45, 23, and 21 from both sides and you are left with x = 11 which is your solution for how many students had 3 or more absences.

hope it helps!

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