use the product rule of exponents to simplify the expression 4^9*4^-7

Answer 1

To simplify the expression using the product rule of exponents, we add the exponents together when the bases are the same.

So, 4^9 * 4^-7 can be simplified as follows:
4^(9 + (-7))

Combining the exponents gives us:
4^2

Therefore, the simplified expression is 4^2.