Question

what is the value of power a if 5^a=1/125

Answer 1

The value of a is -3.

Step-by-step explanation:

The expression provided is:

$5^{a}=\frac{1}{125}$

Some exponent rules are:

• $\frac{1}{a^{m}}=a^{-m}$

• $a^{m}=a^{n}\\\Rightarrow m=n$

Use these rules to determine the value of a as follows:

$5^{a}=\frac{1}{125}$

$5^{a}=\frac{1}{5^{3}}$

$5^{a}=5^{-3}$

$a=-3$

Thus, the value of a is -3.

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Answer 2

Answer:

-3

Step-by-step explanation:

5^a=1/125

5^a=1/(5^3)

using x^a=1/x^-a

5^a=5^-3

if base is same equate the powers

a=-3