What is (81x^{-4}y^{-24})^{-3/4} ?

The solution to (81x^{-4}y^{-24})^{-3/4} is (x^3y^{18})/(27)

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simplify (81x^{-4}y^{-24})^{-3/4}

simplify

(81 x^{- 4} y^{- 24})^{- \frac{3}{4}}

\frac{x ^{3} y ^{18}}{27}

Solution steps

(81 x^{- 4} y^{- 24})^{- \frac{3}{4}}

Apply exponent rule:

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

(81 x^{- 4} y^{- 24})^{- \frac{3}{4}} = \frac{1}{( 81 x ^{- 4} y ^{- 24} ) ^{\frac{3}{4}}}

= \frac{1}{( 81 x ^{- 4} y ^{- 24} ) ^{\frac{3}{4}}}

Simplify

(81 x^{- 4} y^{- 24})^{\frac{3}{4}} : \frac{27}{x ^{3} y ^{18}}

= \frac{1}{\frac{27}{x ^{3} y ^{18}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x ^{3} y ^{18}}{27}

\frac{x}{2} - 5 = 25 - 10

34 x + 92 \geq 72 + 114

2 5^{\frac{- 1}{2}}

- 20 (3 + k) \leq 100

What is (81x^{-4}y^{-24})^{-3/4} ?
The solution to (81x^{-4}y^{-24})^{-3/4} is (x^3y^{18})/(27)