Simplify
1/9^-4 One divided by 9^-4
Directions say to simplify answer and type an integer or a fraction.
Is 6561 correct?
correct
(Simplify your answer. Type an integer or fraction.) 4/17 and 12
To simplify the expression 1/9^-4, we can start by understanding the concept of negative exponents. A negative exponent indicates the reciprocal or the inverse of the base raised to the positive exponent.
In this case, we have 9^-4, which means taking the reciprocal of 9^4. To find the reciprocal, we invert the base. Therefore, 9^-4 is equal to 1/9^4.
Now, we can substitute this value back into the original expression:
1/(1/9^4)
Simplifying further, we can multiply by the reciprocal of the denominator:
1 * 9^4/1
By simplifying 9^4, we get:
1 * 6561
Therefore, the simplified expression for 1/9^-4 is indeed equal to 6561.