Which exponent makes the statement true? 1/5 to 9 power =5
To find the exponent that makes the statement true, we need to solve the equation: (1/5)^n = 5
To begin, let's rewrite 5 as a fraction with a denominator of 1: 5/1
Now, we have the equation (1/5)^n = 5/1
To get rid of the fraction on the left side, we can take the reciprocal of both sides of the equation:
[(1/5)^n]^-1 = (5/1)^-1
Simplifying further, we get:
(5/1)^n = 5/1
Now, since the bases on both sides of the equation match, we can equate the exponents:
n = 1
Therefore, the exponent that makes the statement true is 1.