Find the numerical equivalent of 3^9 x 3^-5

1 answer

To find the numerical equivalent of 3^9 x 3^-5, we can combine the exponents and simplify.

Using the property of exponents that states a^m x a^n = a^(m+n), we have:
3^9 x 3^-5 = 3^(9 + (-5)) = 3^4

Therefore, 3^9 x 3^-5 is equal to 3^4.

Calculating 3^4:
3^4 = 3 x 3 x 3 x 3 = 81

So, the numerical equivalent of 3^9 x 3^-5 is 81.