Question

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

Answer 1

Hey there!!

We have:

... 3²· 3ⁿ = 3²⁰

Remember the exponent rule:

When the bases are equal and the terms are multiplied, then we add up the exponent.

mⁿ · mˣ = mˣ⁺ⁿ

Hence, this equation would result as :

... 3²⁺ⁿ = 3²⁰

... 2+n=20

... n=18

Hence, the required answer is 18.