What is ((a^4)/(-3b))^3 ?

The solution to ((a^4)/(-3b))^3 is -(a^{12})/(27b^3)

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simplify ((a^4)/(-3b))^3

simplify

(\frac{a ^{4}}{- 3 b})^{3}

- \frac{a ^{12}}{27 b ^{3}}

Solution steps

(\frac{a ^{4}}{- 3 b})^{3}

Apply exponent rule:

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

= \frac{( a ^{4} ) ^{3}}{( - 3 b ) ^{3}}

Simplify

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

= \frac{a ^{12}}{( - 3 b ) ^{3}}

Simplify

(- 3 b)^{3} : - 27 b^{3}

= \frac{a ^{12}}{- 27 b ^{3}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{a ^{12}}{27 b ^{3}}

\frac{1}{y ^{- 4}}

(\frac{x + 1}{x})^{2} - 2

25 m^{2} - 50 m + 16

\frac{( 3 a - \frac{1}{( 3 a )} )}{( 3 a - 2 + \frac{1}{( 3 a )} )}

t^{7}