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Popular >

simplify (4r^4)/((4r)^3)

Solution

simplify

\frac{4 r ^{4}}{( 4 r ) ^{3}}

Solution

\frac{r}{16}

Solution steps

\frac{4 r ^{4}}{( 4 r ) ^{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 r)^{3} = 4^{3} r^{3}

= \frac{4 r ^{4}}{4 ^{3} r ^{3}}

\frac{4}{4 ^{3}} = \frac{1}{4 ^{2}}

= \frac{r ^{4}}{4 ^{2} r ^{3}}

Simplify

\frac{r ^{4}}{r ^{3}} : r

= \frac{r}{4 ^{2}}

4^{2} = 16

= \frac{r}{16}

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Frequently Asked Questions (FAQ)

What is (4r^4)/((4r)^3) ?
The solution to (4r^4)/((4r)^3) is r/(16)