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jmc

algebra intermediate

Problem

The expression

\frac{10}{4 10}

equals 10 raised to what power?

Solution

We have

\frac{10}{4 10} = \frac{1 0 ^{\frac{1}{2}}}{1 0 ^{\frac{1}{4}}} = 1 0^{\frac{1}{2} - \frac{1}{4}} = 1 0^{\frac{1}{4}} .

So, the expression equals 10 raised to the

\frac{1}{4}

power.

Final answer

\frac{1}{4}