could someone help me with math?

Question

Use the quotient property of exponents to simplify this expression, write the answer with positive exponents only.

 

(8^a)^-3/8^a)-6

Answer 1

Hi Seth,

(8^a)^-3 /(8^a)^-6 = (8^a)^-3(8^a)⁶

                   = (8^a)^-3+6

                   = (8^a)³

                   = 8^3a   or (8³)^a = 512^a