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Natalija [7]
3 years ago
14

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

Mathematics
1 answer:
KiRa [710]3 years ago
3 0

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}.

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