Question

What value of n makes the equation true? Show your work.

Answer 1

n=13

Explanation:

When multiplying two numbers with the same base, add the exponents

`8^(9) *8^(4) =8^(13)`

When dividing two numbers with the same base, subtract the exponents
`((8^(n))^(3))/(8^(2) ) =(8^(n))^(3-2)=(8^(n))^(1)=8^(n)`

So

`8^(13) =8^(n)`

The bases are the same, so you can cancel them

13=n

n=13