Question

Simplify the expression. Write your answer as a power.

(−5/7)^8⋅(−5/7)^9

Answer 1

Simplify the expression. Write your answer as a power

`((-5)/(7))^8 * ((-5)/(7))^9 = ((-5)/(7))^(17)`

Solution:

Given that,

We have to simplify the expression

`((-5)/(7))^8 * ((-5)/(7))^9`

When multiplying two powers that have the same base, we can add the exponents

Which means,

`a^m * a^n = a^(m+n)`

Therefore,

`((-5)/(7))^8 * ((-5)/(7))^9 = ((-5)/(7))^(8+9) \\\\((-5)/(7))^8 * ((-5)/(7))^9 = ((-5)/(7))^(17)`

Thus the given expression is written as answer with single power