207k views
5 votes
What is the value of the power a if 5^a = 1/125

User Danielgpm
by
5.1k points

2 Answers

1 vote

Answer:

a = -3

Explanation:

5^a = 1/125

The fraction 1/125 can be written as a power with base 5.

5^a = 5^(-3)

Cancel the same bases on both sides.

a = -3

User Ptriek
by
5.0k points
4 votes

Answer:

a = -3.

Explanation:

5^a = 1/125

1/125 = 1 / 5^3

= 5^-3

5^a = 5^-3

so a = -3.

User Umlum
by
4.6k points
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