Which exponent makes the statement true? 1/5^9=5^?
A 9
B -9
C 1/9
D -1/9
1/a^n = a^-n
To determine the exponent that makes the statement true, we can rewrite the equation using the rule of exponents which states that (a^m / a^n) = a^(m-n).
So we can rewrite 1/5^9 as (5^-9).
Now we need to find the exponent that will make 5^-9 equal to 5^?.
By comparing the bases, we can see that the exponents must be equal.
Therefore, the correct answer is:
B) -9