find the numerical equivalent of 4^9 x 4^-7

1 answer

To find the numerical equivalent of 4^9 x 4^-7, we can simplify it.

Using the property of exponents, when multiplying numbers with the same base, you can add their exponents:

4^9 x 4^-7 = 4^(9 + (-7))

Simplifying the exponents:
9 + (-7) = 2

Therefore, 4^9 x 4^-7 is equal to 4^2.

Calculating 4^2:
4^2 = 4 x 4 = 16

So, the numerical equivalent of 4^9 x 4^-7 is 16.