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jmc

algebra intermediate

Problem

The expression

\frac{4 7}{3 7}

equals 7 raised to what power?

Solution

We have

\frac{4 7}{3 7} = \frac{7 ^{\frac{1}{4}}}{7 ^{\frac{1}{3}}} = 7^{\frac{1}{4} - \frac{1}{3}} = 7^{- \frac{1}{12}} .

So, the expression equals 7 raised to the

- \frac{1}{12}

power.

Final answer

-\frac{1}{12}