Find the numerical equivalent of 4 to the power of 9 multiplied by 4 to the power of -7
To find the numerical equivalent, we can combine the exponents: 4 to the power of 9 multiplied by 4 to the power of -7 is equal to 4 to the power of (9 + (-7)). Simplifying the exponent, we get 4 to the power of 2:
4^2 = 16
Therefore, the numerical equivalent of 4 to the power of 9 multiplied by 4 to the power of -7 is 16.
To find the numerical equivalent of 4 to the power of 9 multiplied by 4 to the power of -7, we can use the power rule of exponents, which states that when two powers with the same base are multiplied, we simply add the exponents.
So, 4 to the power of 9 multiplied by 4 to the power of -7 can be rewritten as: 4^(9 + -7).
Now, performing the addition inside the parentheses, we get: 4^(9 - 7).
Simplifying further, 9 - 7 equals 2. Therefore, the expression becomes: 4^2.
Finally, 4 raised to the power of 2 is calculated by multiplying 4 by itself: 4 x 4 = 16.
Hence, the numerical equivalent of 4 to the power of 9 multiplied by 4 to the power of -7 is 16.