#2**+3 **

\(\frac{16}{\frac{1}{4}}=64\). In factor form, \(64=2^6\)

\(\frac{16}{\frac{1}{4}}\)

This is the original expression given, or, at least, this was my interpretation. If it is wrong, please correct me. Dividing a number by a fraction is the same as multiplying a number by that fraction's reciprocal:

\(\frac{16}{\frac{1}{4}}=16*\frac{4}{1}=64\)

You said that you wanted your answer in factor form. Continue creating a tree of factors until you get down to prime numbers:

64

/\

8 * 8

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**2** * 4 4 * **2**

/\ /\

**2*****2 2*2**

Combine the bolded numbers, and you are done! There are 6 2's.

\(2*2*2*2*2*2=2^6\)

TheXSquaredFactor
May 26, 2017