What is (4(f^4)^2f)/(8f^{10)} ?

The solution to (4(f^4)^2f)/(8f^{10)} is 1/(2f)

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simplify (4(f^4)^2f)/(8f^{10)}

simplify

\frac{4 ( f ^{4} ) ^{2} f}{8 f ^{10}}

\frac{1}{2 f}

Solution steps

\frac{4 ( f ^{4} ) ^{2} f}{8 f ^{10}}

Simplify

(f^{4})^{2} : f^{8}

= \frac{4 f ^{8} f}{8 f ^{10}}

Factor the number:

8 = 4 \cdot 2

= \frac{4 f ^{8} f}{4 \cdot 2 f ^{10}}

Cancel the common factor:

4

= \frac{f ^{8} f}{2 f ^{10}}

Simplify

\frac{f ^{8}}{f ^{10}} : \frac{1}{f ^{2}}

= \frac{f}{2 f ^{2}}

Simplify

\frac{f}{f ^{2}} : \frac{1}{f}

= \frac{1}{2 f}

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