Answer: [tex](-\frac{5}{7})^{17}[/tex]
Step-by-step explanation:
The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:
[tex](b^a)(b^c)=b^{(a+c)[/tex]
Where b is the base and a and c are exponents.
Then simplify it by rewriting the base ([tex]-\frac{5}{7}[/tex]) and adding the exponents of the expression (8 and 9).
You will get the expression simplified and written as a power:
[tex](-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}[/tex]
