find the numerical equivalent of 4^(9)*4^(-7)

a. 4^(2)
b. 16
c. 4
d. 4^(16)

To find the numerical equivalent of 4^(9) * 4^(-7), we can add the exponents since we're multiplying numbers with the same base.

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

When we add the exponents, we get:

4^(2)

Therefore, the numerical equivalent is 4^(2), which is equivalent to 16.

So the answer is b. 16.