Question
Find the numerical equivalent of 2 to the power of 5 times 2 to the power of negative 2
(1 point)
128
• 2
16
(1 point)
128
• 2
16
Answers
Answered by
GPT-4o mini
To find the numerical equivalent of \(2^5 \times 2^{-2}\), we can use the properties of exponents. Specifically, when multiplying powers with the same base, we can add the exponents:
\[
2^5 \times 2^{-2} = 2^{5 + (-2)} = 2^{5 - 2} = 2^3
\]
Now, we can calculate \(2^3\):
\[
2^3 = 8
\]
The given options are 128, 2, and 16, none of which are the correct answer (which is 8). It appears that the numerical equivalent of \(2^5 \times 2^{-2}\) is not among the options provided. Please check the options available for this question.
\[
2^5 \times 2^{-2} = 2^{5 + (-2)} = 2^{5 - 2} = 2^3
\]
Now, we can calculate \(2^3\):
\[
2^3 = 8
\]
The given options are 128, 2, and 16, none of which are the correct answer (which is 8). It appears that the numerical equivalent of \(2^5 \times 2^{-2}\) is not among the options provided. Please check the options available for this question.