AnswersAZ-Common Core Algebra II ALaws of Exponents

Laws of Exponents Answers

16 verified answers
1
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Simplify 52 · 59.

A
511
B
518
C
2511
D
2518
2
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Simplify (-2x3)2 · y · y9.

A
-4x6y8
B
-4x4y8
C
4x6y10
D
-4x4y10
3

1,0008 = 10ww =

Answer:

24

4

Simplify

A
6x3
B
6x6
C
10x3
D
10x6
5

Simplify.(83)7 = 8nn =

Answer:

21

6

Simplify (2xy3)4.

A
8xy12
B
2x4y12
C
16xy12
D
16x4y12
7

The area of a rectangle is represented by the expression 6x3y5. Which of the following could be the dimensions of the rectangle?

A
2xy2 and 3x2y3
B
2xy2 and 4x2y3
C
2x3y and 3y4
D
2x3y and 3xy4
8

y10z5x6y7z5x7y9z5x8y18z5

Question illustration
A
y10z5
B
x6y7z5
C
x7y9z5
D
x8y18z5
9

3y33xy39xy39x5y3

Question illustration
A
3y3
B
3xy3
C
9xy3
D
9x5y3
10

Find the values of a, b, and c in the equation below. a = ⇒ 12b = ⇒ 2c = ⇒ 11

Question illustration
Answers:
⇒ 12:11
11

Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.

Question illustration
Answer:

To simplify the expression, I would first simplify the term in the numerator within the innermost parentheses, (2r^2t)^3. Following the order of operations (PEMDAS), I must address the innermost grouping first. Using the power of a product property and the power of a power property, I would cube each factor inside the parentheses. This results in 2^3, (r^2)^3, and t^3, which simplifies to 8r^6t^3 in the numerator.

12

Simplify

A
20a3b
Option A
B
Option
Option B
C
20a4b
Option C
D
Option
Option D
13

815 = 3xx =

Answer:

20

14

Simplify

A
Option
Option A
B
Option
Option B
C
Option
Option C
15

Find the values of x and y in the equation below. x = ⇒ 6y = ⇒ 18

Question illustration
Answers:
⇒ 6:18
16

Which of the following did you include in your response?

A
Use the product of powers property to simplify the numerator by removing the parentheses.
B
Follow the order of operations by removing the innermost parentheses first.
C
Cube the quantity to get the product of 2 to the third power, r to the 6th power, and t to the third power, or 23r6t3 in the numerator.

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