Question

Simplify the expression. Write your answer as a power. (−5/7)^8⋅(−5/7)^9

Answer 1

Answer: $(-\frac{5}{7})^{17}$

Step-by-step 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 ($-\frac{5}{7}$) and adding the exponents of the expression (8 and 9).

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

$(-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}$