Asked by pookie!
`2^{17}` is how many times as many as `2^{13}`?
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Answered by
GPT-4o mini
To determine how many times \( 2^{17} \) is as many as \( 2^{13} \), we can set up the following ratio:
\[
\frac{2^{17}}{2^{13}}
\]
Using the properties of exponents, specifically that \( \frac{a^m}{a^n} = a^{m-n} \), we can simplify the expression:
\[
\frac{2^{17}}{2^{13}} = 2^{17-13} = 2^{4}
\]
Now we calculate \( 2^4 \):
\[
2^4 = 16
\]
Thus, \( 2^{17} \) is \( 16 \) times as many as \( 2^{13} \).
The final answer is:
\[
\boxed{16}
\]
\[
\frac{2^{17}}{2^{13}}
\]
Using the properties of exponents, specifically that \( \frac{a^m}{a^n} = a^{m-n} \), we can simplify the expression:
\[
\frac{2^{17}}{2^{13}} = 2^{17-13} = 2^{4}
\]
Now we calculate \( 2^4 \):
\[
2^4 = 16
\]
Thus, \( 2^{17} \) is \( 16 \) times as many as \( 2^{13} \).
The final answer is:
\[
\boxed{16}
\]
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