What is ((a^{-3})/(b^4))^{1/12} ?

The solution to ((a^{-3})/(b^4))^{1/12} is 1/(a^{1/4)b^{1/3}}

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simplify ((a^{-3})/(b^4))^{1/12}

simplify

(\frac{a ^{- 3}}{b ^{4}})^{\frac{1}{12}}

\frac{1}{a ^{\frac{1}{4}} b ^{\frac{1}{3}}}

Solution steps

(\frac{a ^{- 3}}{b ^{4}})^{\frac{1}{12}}

Apply exponent rule:

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

= \frac{( a ^{- 3} ) ^{\frac{1}{12}}}{( b ^{4} ) ^{\frac{1}{12}}}

Simplify

(a^{- 3})^{\frac{1}{12}} : \frac{1}{a ^{\frac{1}{4}}}

= \frac{\frac{1}{a ^{\frac{1}{4}}}}{( b ^{4} ) ^{\frac{1}{12}}}

Simplify

(b^{4})^{\frac{1}{12}} : b^{\frac{1}{3}}

= \frac{\frac{1}{a ^{\frac{1}{4}}}}{b ^{\frac{1}{3}}}

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{1}{a ^{\frac{1}{4}} b ^{\frac{1}{3}}}

\frac{2}{1 + m - 1 - m}

2 x - 5 (0) = 10

6 - \frac{1}{3}

x^{2} - 9 x + 18 = 0

\frac{5 ^{\frac{1}{5}}}{5}

What is ((a^{-3})/(b^4))^{1/12} ?
The solution to ((a^{-3})/(b^4))^{1/12} is 1/(a^{1/4)b^{1/3}}