Question

How do you solve this problem in the photo?

Answer 1

25

Explanation:

Using the rule of exponents

`a^(m)` ×
`a^(n)` ⇔
`a^((m+n))`

The rule can be extended to include more than 3 terms.

Given

5³ ×
`5^(4)` ×
`5^(-5)`

=
`5^((3+4-5))`

= 5²

= 25

Answer 2

Answer: 5^2

Explanation:

Since the base are all the same, you will add the exponents and let the exponents stay the same.

5^3 * 5^4= 5^7 * 5^-5= 5^2