Question

Simplify the expression. Write your answer as a power.

(−5/7)^8⋅(−5/7)^9

Answer 1

Answer:
`(-(5)/(7))^(17)`

Explanation:

The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

`(b^a)(b^c)=b^{(a+c)`

Where b is the base and a and c are exponents.

Then simplify it by rewriting the base (
`-(5)/(7)`) and adding the exponents of the expression (8 and 9).

You will get the expression simplified and written as a power:

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