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alekssr [168]
3 years ago
9

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

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer: (-\frac{5}{7})^{17}

Step-by-step explanation:

The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

(b^a)(b^c)=b^{(a+c)

Where b is the base and a and c are exponents.

 Then simplify it by rewriting the base (-\frac{5}{7}) and adding the exponents of the expression (8 and 9).

You will get the expression simplified and written as a power:

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

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