What is ((x^6+5)/(6x^3))^3 ?

The solution to ((x^6+5)/(6x^3))^3 is ((x^6+5)^3)/(216x^9)

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simplify ((x^6+5)/(6x^3))^3

simplify

(\frac{x ^{6} + 5}{6 x ^{3}})^{3}

\frac{( x ^{6} + 5 ) ^{3}}{216 x ^{9}}

Solution steps

(\frac{x ^{6} + 5}{6 x ^{3}})^{3}

Apply exponent rule:

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

= \frac{( x ^{6} + 5 ) ^{3}}{( 6 x ^{3} ) ^{3}}

Simplify

(6 x^{3})^{3} : 216 x^{9}

= \frac{( x ^{6} + 5 ) ^{3}}{216 x ^{9}}

\frac{- 48 a ^{5} b ^{- 4}}{12 a ^{- 4} b ^{- 2}}

x^{3} + 1 - x^{2} - x

(3 x^{- 4} \cdot y^{- 6})^{- 5}

(5 a - 4)^{3}

36 (2 x + 3)^{2}

What is ((x^6+5)/(6x^3))^3 ?
The solution to ((x^6+5)/(6x^3))^3 is ((x^6+5)^3)/(216x^9)