Tom simplified an expression in three steps, as shown: x to the power of negative 2 multiplied by y to the power of 4, over y multiplied by x to the power of 4 multiplied by x to the power of 4 multiplied by y to the power of negative 2, the whole to the power of 4 equal to x to the power of 2 multiplied by y to the power of 8, over y to the power of 4 multiplied by x to the power of 8 multiplied by x to the power of 8 multiplied by y to the power of 2 equal to x to the power of 2 multiplied by y to the power of 8, over y to the power of 6 multiplied by x to the power of 16. Which is the first incorrect step and why? (5 points) Step 1, all the exponents are increased by 4 Step 2, the exponents of the same base are added during multiplication Step 3, the exponents of the same base are subtracted during division Step 3, all the exponents are added during division

Answers

Answer 1

Answer:

Step 1, all the exponents are increased by 4

Step-by-step explanation:

The three steps are

(x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ =  x²×y⁸/y⁴×x⁸×x⁸×y² =x²×y⁸/y⁶×x¹⁶

Correct solution should be:

(x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ =  all powers inside the parenthesis should be multiplied by 4 as per power of the power  (xᵃ)ᵇ = xᵃᵇ

This would give next steps:

x⁻⁸×y¹⁶/y⁴×x⁸×x⁸×y⁻⁸ =x⁻⁸×y¹⁶/x¹⁶×y⁻⁴ =y²⁰/x²⁴

Answer options:

Step 1, all the exponents are increased by 4

There should be multiplication of powers. (It is close option but is not fully correct as not all the exponents increased by 4, for example y became y⁴)

Step 2, the exponents of the same base are added during multiplication

It was done correctly

Step 3 wasn't performed yet, there was step 1 and 2.

So answers about step 3 are irrelevant
Answer 2

Answer:

It would be number 3.

Step-by-step explanation:


Related Questions

Len has a rectangular wooden deck that measures 14 feet by 25 feet that he wants to put a sting of light around. what length of lights should he buy?

Answers

Answer:

78 feet

Step-by-step explanation:

assuming it's the perimeter

25 + 25 + 14 + 14 = 78

The length of the string of the lights is 78 feet.

What is the perimeter of the rectangle?

P = 2(l + w), where 'l' is the length of the rectangle and  w is the width of the rectangle

For given example,

Len has a rectangular wooden deck that measures 14 feet by 25 feet that he wants to put a string of light around.

The length of the string of the lights = the perimeter of the rectangular wooden deck

Here, length of the deck (l) = 25 ft.

width of the deck (w) = 14 ft.

Using the formula of the perimeter of the rectangle,

⇒ P = 2 × (l + w)

⇒ P = 2 × (25 + 14)

⇒ P = 2 × 39

⇒ P = 78 ft.

The perimeter of the rectangular wooden deck is 78 feet.

Therefore, the length of the string of the lights is 78 feet.

Learn more about the perimeter of the rectangle here:

https://brainly.com/question/15287805

#SPJ2

function or not a function?

Answers

Not a function. Dont multiply its doesnt make sence

Answer:

Function

Step-by-step explanation:

Its a function because it passes the vertical line test

Please help due by 2

Answers

Answer:

f=-4

Step-by-step explanation:

f (-5) = -5 -4

f (-5) + 5 = -5 +5 -4

f = -4

Select the expression that is equivalent to 3(2x + 5) − 4x.

Question 12 options:

A. 2x + 15


B. x + 8


C. 2x + 5


D. x + 15

Answers

It would be A. 2x+15
Because you use the distributive property which equals 6x+15-4x
Then you add like terms so 6x-4x=2x soo 2x+15

Hope this helps

Have a great day/night

What is the image of (x,y) after a translation of 3 units left and 5 units up?​

Answers

the answer is number 3

Is this right? 2(10×2) + 2(10×3)=2(20)+2(6)+2(30)=40+=112 Square inches.​

Answers

Answer:

Yes this is correct

Step-by-step explanation:

Mia charges $2.25 per hour when she babysits plus $5.00 for transportation expenses. Write a function rule to represent the amount y Mia charges to babysit for x hours.

A y = 5.00x + 2.25
B y = 7.25x
C y = 2.25x + 5.00
D x = 5.00y + 2.25

Answers

Answer:

c

Step-by-step explanation:

Answer: C

Step-by-step explanation:

This lesson is about Tangents, and they make no sense. Please help me.

Answers

The radius of circle P is 4, and OP is also a radius of circle P, so OP = 4.

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

VA

Step-by-step explanation:

Angle VYA = 180-94-46 = 40 degrees.

Know that the side length opposite the smallest angle has the smallest length.

VY and VA are the two smallest, but 40 < 46, therefore VA is the shortest length.

Short (and not very rigorous) proof:

The law of sines says that sinA/a = sinB/b = sinC/c, where x is the side opposite the angle X

sin46/YV = sin40/VA

sin46 > sin40, therefore YV > VA.

If f(x)=-3x-2, find each value.
1. f(3)

Answers

Answer:

f(3)=-11

in other words

When x=3, y=-11

Step-by-step explanation:

f(x)=-3x-2

f(3)=-3(3)-2

f(3)=-9-2

f(3)=-11

Pls help if your good at math marking brainliest

Answers

Answer:

Step-by-step explanation:

6x-1=2x+5+4x-6

separate the variables in one side, numbers on the other side

6x-2x-4x=1+5-6

0=0

one solution

Write an equation of the line with a slope of — 7 and y-intercept of 1.

Answers

Answer:

y= -7x + 1

Step-by-step explanation:

this is the answer

(3×10^​2 ​​ )×(2×10^​−4 ​​ )= ​​

Answers

Answer:

Step-by-step explanation:

First, lets simplify everything in the parenthesis.

(3×10^​2 ​​ )×(2×10^​−4 ​​ )= ​​

In the parenthesis, since exponents come before multiplication in the order of operations, we need to do the exponents first.

(3 • 100) • (2 • 1/10^4)

Now, we can just multiply everything from left to right to get:

6*10^-2

Or

.06

Alicia borrowed $3,000 from the bank at a rate of 12% simple interest per year. How much interest did she pay in 2 years

Answers

Answer:

I think it is $720

Let me know if this is right.

A group of friends wants to go to the amusement park. They have $94.25 to spend on parking and admission. Parking is $14.75, and tickets cost $13.25 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer: 6

Step-by-step explanation:

From the question, we are informed that a group of friends wants to go to the amusement park and that they have $94.25 to spend on parking and admission.

We are further told that Parking is $14.75, and tickets cost $13.25 per person, including tax. The equation that can be used to solve the number of people who can go to the amusement park would be:

= 14.75 + 13.25p

Since they've $94.25 to spend, the number of people that can go to the amusement park will be:

14.75 + 13.25p = 94.25

13.25p = 94.25 - 14.75

13.25p = 79.50

p = 79.50 / 13.25

p = 6

6 people can go to the amusement park

An expression that is equal to 28.3

Answers

Answer:

18+10.3

Step-by-step explanation:

The expression doesn't have to include a variable, so you can pick two random numbers that add up to 28.3. In this case, I used 18 and 10.3. Simple.

10.
A camera costs $210. If the sales tax rate is 8%, how much tax is charged? Round your answer to the nearest cent.
A
$18.90
B. $14.70
C. $16.80
D
$168.00

Answers

Answer: C. $16.80

Step-by-step explanation:

Answer:

C.) $16.80

Step-by-step explanation:

Find what 8% as a decimal is: move the decimal to the right 2 times.=.08

Multiply: .08 times 210

.08 times 210 = 16.8

16.8= 16.80

$16.80

Hope I helped!! :)

Brainliest?!?!

Stay safe and have a good night/day/afternoon!!!

If f(1) = 6 and f(n) = 5f(n - 1) then find the value of f(6).

Answers

9514 1404 393

Answer:

  18750

Step-by-step explanation:

The recursive relation describes a geometric sequence with a first term of 6 and a common ratio of 5. The general term will be ...

  an = 6·5^(n -1)

So, the 6th term will be ...

  a6 = 6·5^(6-1) = 6·3125

  a6 = 18750

Solve the following equation : 4y - 7 = 5

Answers

Answer:

Y=3

Step-by-step explanation:

Multiply 4x3 to get 12. 12-7=5.

Hope it helps!

Answer:

3

Step-by-step explanation:

4y=5+7

4y=12

y=12/4

y=3

solve the quadratic equation
x2-10x+49=4x+1

Answers

Answer:

x=8 & x=6

Step-by-step explanation:

Answer:

X= X2+48/14

Step-by-step explanation:

Using the (Transforming to Slope-Intercept Form), graph -5x + y = -3​

Answers

Answer:

Step-by-step explanation:

HELP PLEASEE UHM 0=r+4 IM IN 7TH GRADE

Answers

Answer:

r = -4

Step-by-step explanation:

Subtract 4 from both sides, so r = -4

please help, would be grateful :)

Answers

Answer:

[tex]\frac{4}{3x-4}[/tex]

Step-by-step explanation:

The first thing we do to solve this is factor is completley

You can factor out a 4 from the numerator and get

4(3x+4)

The denominator is a  difference of squares which means that

(x^2-y^2)=(x-y)(x+y)

which means that 9x^2-16=

(3x-4)(3x+4)

Put these together and get

[tex]\frac{4(3x+4)}{(3x-4)*(3x+4)}[/tex]

The 3x+4 cancels out and we get left with

[tex]\frac{4}{3x-4}[/tex]

4/3x-4 I think I’m not fully sure

The temperature was -5°F and then fell 8°F. Enter the addition expression that represents the final temperature.

Answers

-13°F
That is the final temp

I have 1 die. What is the probability of rolling a 2 or a 4?

Answers

The probability of rolling a 2 would be 5.556 and the probability of rolling a 4 would be 11.111

Pls help and show workings

Answers

The answer is C. The slope formula, y2-y1 over x2-x1, which can be remembered as rise over run, can be used to solve. The y2 is 7 as it is the second y and then 1, the first y, is subtracted from it. 7-1=6. After this, you find the second x which is 3, and subtract -6 from it, meaning that you add it as you are subtracting a negative and they cancel out. You now have 3-(-6), or 3+6 on the bottom and 7-1 on the top. 7-1=6 and 3+6=9. The answer is the 6/9 and can be simplified down to 2/3 because of their shared greatest common factor, 3. Hope this helps.

I need help with Geometry

Answers

9514 1404 393

Answer:

  (5, 1)

Step-by-step explanation:

Reflection across the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y) . . . . reflection across the x-axis

Rotation 90° CCW is the transformation ...

  (x, y) ⇒ (-y, x) . . . . rotation 90° CCW

The two transformations together give ...

  (x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW

For point B, this gives ...

  B(1, 5) ⇒ B'(5, 1)

PLEASE HELP GIVING BRAINLEST

Answers

Answer:

11.25cm

Step-by-step explanation:

1.5x3=4.5

4.5x2=9

1.5x1.5=2.25

9+2.25=11.25

Nina spent $75.00 on music in September. She spent $96.00 on music in
October. By which percent did Nina's spending on music increase from
September to October?
A 78%
B 28%
22%
D 12%

Answers

I think the answer is C)22%
The answer is B. 28%

Find three solution's to the linear equation 4x+y=20 using a table​

Answers

Answer:

(-2, 28)

(-1, 24)

(0, 20)

Step-by-step explanation:

You can plug any numbers in for x, and solve for y.

Example: 4(-2) + y =20     multiply 4 and -2

                   -8 + y = 20     add 8 to both sides

                          y = 28

You can then do this for the rest of the numbers. Here is a table below:

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