Simplify the following and leave your answer in exponential form. (Example: write 525^25

Question

2
not 252525 ). Click Here for Help Video

2172−5\frac{2^{17}}{2^{-5}}
2
−5

2
17

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Answer 1

To simplify \(\frac{2^{17}}{2^{-5}}\), we can use the property of exponents that states:

\[ \frac{a^m}{a^n} = a^{m-n} \]

Applying this to our expression:

\[ \frac{2^{17}}{2^{-5}} = 2^{17 - (-5)} = 2^{17 + 5} = 2^{22} \]

Thus, the simplified form of \(\frac{2^{17}}{2^{-5}}\) is:

\[ \boxed{2^{22}} \]