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olganol [36]
3 years ago
6

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

Mathematics
1 answer:
Sloan [31]3 years ago
7 0
<h3>Simplify the expression. Write your answer as a power</h3>

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

<em><u>Solution:</u></em>

Given that,

We have to simplify the expression

(\frac{-5}{7})^8 \times (\frac{-5}{7})^9

When multiplying two powers that have the same base, we can add the exponents

Which means,

a^m \times a^n = a^{m+n}

Therefore,

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

Thus the given expression is written as answer with single power

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