Simplify the expression. Write your answer as a power.$\left(-\frac{5}{7}\right)^8\cdot\left(-\frac{5}{7}\right)^9$(−57)8·(−57)9The simplified expression is .
Question
Simplify the expression. Write your answer as a power.(−57)8·(−57)9The simplified expression is .
Solution
To simplify the expression, you need to use the rule of exponents which states that when you multiply two exponents with the same base, you add the powers.
Here, the base is (-5/7) and the powers are 8 and 9.
So, you add the powers: 8 + 9 = 17
Therefore, the simplified expression is .
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