4^9⋅4^−7
To solve this expression, we need to use the laws of exponents.
First, we can simplify the base by following the rule that states, "When multiplying two bases with the same exponent, you add the exponents." Therefore, 4^9 * 4^-7 can be written as 4^(9 + -7).
This simplifies to 4^2, which equals 16.
Therefore, 4^9 * 4^-7 = 16.
To simplify the expression 4^9 * 4^(-7), you can add the exponents since the base, 4, is the same.
When multiplying with the same base, you add the exponents.
So, 4^9 * 4^(-7) is equal to 4^(9 + -7).
Simplifying further, the expression becomes 4^2.
Therefore, 4^9 * 4^(-7) simplifies to 4^2.