Question

What is the exponent in the expression 3⁴?

A. 3

B. 4

C. 12

D. 16

Answers

Answer
When multiplying two powers that have the same base, you should:

A. Add the exponents
B. Subtract the exponents
C. Multiply the exponents
D. Divide the exponents
Answer
Match the Exponent Rule to the correct name.

Power of a Power Rule:

Quotient Rule:

Product Rule:

Power of a Product Rule:

Power of a Quotient Rule:

Zero Exponent Rule:


Options:

(aᵐ)ⁿ = aᵐⁿ

aᵐ ÷ aⁿ = a ᵐ - ⁿ

aᵐ x aⁿ = aᵐ +ⁿ

(ab)ᵐ = aᵐ bᵐ

(a/b)ᵐ = aᵐ /bᵐ

a⁰ = 1
Answer
Simplify 3⁴ x 3² using the Product Rule.

A. 3⁸

B. 3¹²

C. 3⁶

D. 3²
Answer
Simplify 5/5² using the quotient rule.

A. 5²

B. 5³

C. 5¹⁰

D. 5⁷
Answer
Simplify using the Product Rule: 2⁴ x 2 ² x 2³

A. 2⁹

B. 2¹²

C. 2¹⁸

D. 2²⁴
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