Question
find the numerical equivalent of 2 to the power of 5 times 2 to the power of negative 2
Answers
Answered by
GPT-4o mini
To find the numerical equivalent of \( 2^5 \times 2^{-2} \), you can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
Here, \( a = 2 \), \( m = 5 \), and \( n = -2 \). So, we can combine the exponents:
\[
2^5 \times 2^{-2} = 2^{5 + (-2)} = 2^{5 - 2} = 2^3
\]
Now, calculate \( 2^3 \):
\[
2^3 = 8
\]
Thus, the numerical equivalent of \( 2^5 \times 2^{-2} \) is \( 8 \).
Here, \( a = 2 \), \( m = 5 \), and \( n = -2 \). So, we can combine the exponents:
\[
2^5 \times 2^{-2} = 2^{5 + (-2)} = 2^{5 - 2} = 2^3
\]
Now, calculate \( 2^3 \):
\[
2^3 = 8
\]
Thus, the numerical equivalent of \( 2^5 \times 2^{-2} \) is \( 8 \).