Question

5 to the power of 7 divided by 5 to the power of minus 2 equals what? As the exponent like 5 to the power of what is the answer?

Answer 1

5 to the power of 9

Explanation:

You have 5^7 over 5^-2.

The 5^-2 on the bottom can be handled by moving the whole thing UP across the fraction bar. This makes the -2 exponent into a positive 2 exponent.

5^7 / 5^-2

= 5^7• 5^2

Now, to multiply these, ADD the exponents.

5^7•5^2

= 5^9