9h^-2*5h^10

Question

Please explain your answer. Do not put 9h and 5h in parenthesis.

Answer 1

Hi Andrew;

9h^-2*5h¹⁰

First, let's consider h^-2 * h¹⁰

-2+10=8

This is h⁸

9h⁸*5

45h⁸

Answer 2

The Ruie is when you have two similar numbers (same base), each raised to a power, the product of these (base) numbers raised to their power is the base raised to the sum of e powers.

 

i.e.  (a^x)*(a^y) = a^(x+y)