Product Rule of Exponents Quick Check
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Find the numerical equivalent of 4^9⋅4^−7(1 point)
Responses
4^2
4^16
4
16
4^2
To find the numerical equivalent of 4^9⋅4^−7, we can apply the product rule of exponents, which states that when multiplying two numbers with the same base, you can add their exponents.
In this case, the base is 4. So, by applying the product rule, we can add the exponents 9 and -7, which gives us 4^2.
Therefore, the numerical equivalent of 4^9⋅4^−7 is 4^2 or 16.
The correct response is: 4^2