Which exponent makes the statement true? 1/5 to the ninth power=5

1 answer

The exponent that makes the statement true is -9.

When raising 1/5 to the power of -9, we get:

(1/5)^(-9) = 5

This is because any number raised to the power of -n is equal to its reciprocal raised to the power of n. So, (1/5)^(-9) can be rewritten as (5/1)^9 = 5^9/1^9 = 5^9 = 5.