Find the numerical equivalent of 9^9*9^-6. Your answer should be written without exponents.

Answer 1

The numerical equivalent of 9^9*9^-6 can be found by simplifying the expression using the properties of exponents.

First, we can simplify 9^9:

9^9 = 9^(6+3) = 9^6 * 9^3.

So, our expression becomes:

9^6 * 9^3 * 9^-6.

Now, using the property a^m * a^n = a^(m+n), we can combine the exponents:

9^6 * 9^3 * 9^-6 = 9^(6+3+(-6)) = 9^3.

Therefore, the numerical equivalent of 9^9*9^-6 is 9^3.