Question

Solve (3^p times 81 = 9) for p

Answer 1

p = -2

Explanation:

Start by dividing both sides by 81 to get the power by itself.

`3^p \cdot 81 = 9\\\\3^p=(9)/(81)=(1)/(9)`

Write the fraction using a power of 3.

`3^p=(1)/(3^2)\\\\3^p=3^(-2)\\\\p=-2`

This assumes you know about negative exponents:
`a^(-n)=(1)/(a^n)`