Question

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

Answer 1

Answer:

x = -3

There is a base f 5 on the left side, so write the denominator on the right as a base of

5 as well.

5

x

=

1

125

5

x

=

1

5

3

Move the base to the numerator.

5

x

=

5

−

3

If the bases are equal, the indices are equal:

x

=

−

3

Answer 2

Answer:

The answer is 1/625

Step-by-step explanation:

The reason is because 5a = 1/125

Therefore, to find the value of "a" we need to divide!

So, a = 1/125 / 5

           ⇒ 1/125 × 1/5    ( Reciprocal when we divide )                                                        

             ⇒ 1/125 × 5

             → 1/625

I hope this answer helps!