Question

The expression 3^2 ∙ 3^n simplifies to 3^20.

What is the value of the exponent of n? Show your work. Explain which law of exponents supports your answer.

Answer 1

Answer: 18

Explanation:

3² * 3ⁿ = 3²⁰

3⁽²⁺ⁿ⁾ = 3²⁰

2 + n = 20

-2 -2

n = 18