Exponent Properties Review

Exponent Properties Review

8th Grade Pre-Algebra

Multiple Choice

When multiplying powers with like bases ___________ the exponents and ____________ the base.

• Multiply; add

• add; keep

• add; multiply

• keep; multiply

Fill in the Blanks

When dividing powers with the same base,

the exponents and keep the base

Remember reciprocal???

We get rid of negative exponents by taking the reciprocal of the base and making the exponent positive.

Multiple Choice

What is the reciprocal of 1/4

• 1

• 4/1

• 2

Multiple Choice

What is the reciprocal of 2/5

• 2/5

• 4

• 5/2

Multiple Choice

What is the reciprocal of 5

• 5/5

• 1/5

• 10

Fill in the Blanks

What is the reciprocal of 3/4

Multiple Choice

Does (-3)⁰ has the same solution as -3⁰?

• True 
• False

Multiple Choice

• 6^-2
• 1/6²
• 1/36
• All of the above

Multiple Choice

• 5^-8
• 5²
• 25^-8
• 25²

Multiple Choice

• 3
• 0
• 1
• 1/3

Multiple Choice

Simplify the expression: 3x²⋅x²=

• 3x
• 3x²⁺²
• 3x⁴

Multiple Choice

Evaluate using the quotient rule: 

• a⁸b¹³
• a²b⁷
• a¹⁵b³⁰

Multiple Choice

Simplify 4^-2= 

• 1/16
• -16
• 1/4
• -42

Multiple Choice

  Simplify
 (2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶
• 12a⁶b⁸z⁵
• 12a⁵b⁶z⁶
• 8a⁶b⁸z⁵

Multiple Choice

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³
• 2²/z⁷
• 2¹⁴/ z⁷
• 2² z⁷

Multiple Choice

-3g⁵ ⋅ 4g⁶

• -7g¹¹
• 12g³⁰
• -7g³⁰
• -12g¹¹

Multiple Choice

(5³x²y⁴)⁰

• 5xy
• 1
• 0
• 5

Multiple Choice

Simplify

(2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

Multiple Choice

• m⁴
• m⁶
• m¹⁰
• 1/m⁶