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

Step-by-step explanation:

3² * 3ⁿ = 3²⁰

3⁽²⁺ⁿ⁾  = 3²⁰

 2 + n = 20

-2          -2

       n = 18