Find the numerical equivalent of 9^9 * 9^-6

1 answer

To find the numerical equivalent of 9^9 * 9^-6, we need to simplify the expression first.

Applying the rules of exponents, we can rewrite 9^9 * 9^-6 as (9^9 / 9^6) because when two exponents have the same base, we can subtract the exponents when dividing.

Now, let's simplify the expression:

9^9 / 9^6 = 9^(9-6) = 9^3

Calculating 9^3:

9^3 = 9 * 9 * 9 = 729

Therefore, the numerical equivalent of 9^9 * 9^-6 is 729.