Question

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

Answer 1

Simplify the expression. Write your answer as a power

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

Solution:

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