AnswersFL-1200330-Algebra 2 Sem 1 - FlexSolving Equations

Laws of Exponents Answers

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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

Question illustration
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
Answer:

11

11

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

Question illustration
Answer:

18

12

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.

13

Simplify

Question illustration
A
20a3b
Option A
B
Option
Option B
C
20a4b
Option C
D
Option
Option D
14

815 = 3xx =

Answer:

20

15

Simplify

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
16

Which of the following did you include in your response?Use the product of powers property to simplify the numerator by removing the parentheses.Follow the order of operations by removing the innermost parentheses first.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.

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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