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Popular >

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

Solution

simplify

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

Solution

\frac{1}{r ^{9}}

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

Simplify

(r^{4})^{3} : r^{12}

= \frac{r ^{3}}{r ^{12}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{r ^{3}}{r ^{12}} = \frac{1}{r ^{12 - 3}}

= \frac{1}{r ^{12 - 3}}

Subtract the numbers:

12 - 3 = 9

= \frac{1}{r ^{9}}

Popular Examples

simplify (x^{1/2})/(x^{1/6)}simplify

\frac{x ^{\frac{1}{2}}}{x ^{\frac{1}{6}}}

\frac{1}{8} x + \frac{3}{4} x = 12

6 x + 8 = 7 x + 13

simplify (n^2-14n+45)/(n^2-10n+9)simplify

\frac{n ^{2} - 14 n + 45}{n ^{2} - 10 n + 9}

simplify (y^5)/(y^3)simplify

\frac{y ^{5}}{y ^{3}}

Frequently Asked Questions (FAQ)

What is (r/(r^4))^3 ?
The solution to (r/(r^4))^3 is 1/(r^9)