Problem

What whole number is equal to $\frac{5}{2^{-5}} ?$

Answer

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Answer

Final Answer: \(\boxed{160}\)

Steps

Step 1 :First, we can simplify the expression by converting the negative exponent to a positive exponent in the denominator: \(2^{-5} = \frac{1}{2^5}\)

Step 2 :Next, we can rewrite the expression as a fraction: \(\frac{5}{2^{-5}} = \frac{5}{\frac{1}{2^5}}\)

Step 3 :Now, we can multiply the numerator and denominator by \(2^5\) to simplify the fraction: \(\frac{5}{\frac{1}{2^5}} = \frac{5 \times 2^5}{1}\)

Step 4 :Finally, we can calculate the result: \(5 \times 2^5 = 160\)

Step 5 :Final Answer: \(\boxed{160}\)

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