Question

I need help with this question please ASAP!!!!!!!!!

Answer 1

The simplified expression is $\left(-\frac{5}{7}\right)^{17}$.

Solution:

Given expression is $\left(-\frac{5}{7}\right)^{8} \cdot\left(-\frac{5}{7}\right)^{9}$.

To simplify this expression:

$\left(-\frac{5}{7}\right)^{8} \cdot\left(-\frac{5}{7}\right)^{9}$

Using exponent rule:

If the base of the product is same then add the powers of the bases.

$a^m \cdot a^n = a^{m+n}$

$\left(-\frac{5}{7}\right)^{8} \cdot\left(-\frac{5}{7}\right)^{9}=\left(-\frac{5}{7}\right)^{8+9}$

                           $=\left(-\frac{5}{7}\right)^{17}$

$\left(-\frac{5}{7}\right)^{8} \cdot\left(-\frac{5}{7}\right)^{9}=\left(-\frac{5}{7}\right)^{17}$

The simplified expression is $\left(-\frac{5}{7}\right)^{17}$.