which exponent makes the statement true 1/5^9=5
To find the exponent that makes the statement 1/5^9 = 5 true, we need to solve for the exponent.
First, let's rewrite the equation using the negative exponent property: 1/(5^9) = 5
To eliminate the fraction, we can simplify the equation by taking the reciprocal of both sides: (5^9)/1 = 1/5
Now, we can rewrite the equation as a power of 5: 5^9 = 1/5
To solve for the exponent 9, we need to convert the right side of the equation to a power of 5.
We can rewrite 1/5 as 5^(-1) using the rule that a negative exponent indicates the reciprocal: 5^9 = 5^(-1)
Since the bases (5) are the same, the exponents must be equal: 9 = -1
However, 9 is not equal to -1, so there is no exponent that makes the equation true: 1/5^9 = 5.
Therefore, the statement 1/5^9 = 5 is not true for any exponent.