2
QuizMultiple Choice

Laws of Exponents — Quiz

Question 2 • Algebra II

Which law would you use to simplify the expression the fraction with numerator 3 to the 10th power and denominator 3 to the 4th power ?

Answer
A
power of a product
B
product of powers
C
power of a quotient
D
quotient of powers

Explanation

The expression is 3¹⁰ ÷ 3⁴, a quotient of powers with the same base. Use the quotient of powers law, which says to subtract the exponents: 3¹⁰ ÷ 3⁴ = 3¹⁰⁻⁴ = 3⁶. The correct choice is “quotient of powers.”

AI-written and checked against the verified answer.

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