What is (5x^4*y^{-3})^{-2} ?

The solution to (5x^4*y^{-3})^{-2} is (y^6)/(25x^8)

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simplify (5x^4*y^{-3})^{-2}

simplify

(5 x^{4} \cdot y^{- 3})^{- 2}

\frac{y ^{6}}{25 x ^{8}}

Solution steps

(5 x^{4} y^{- 3})^{- 2}

Apply exponent rule:

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

(5 x^{4} y^{- 3})^{- 2} = \frac{1}{( 5 x ^{4} y ^{- 3} ) ^{2}}

= \frac{1}{( 5 x ^{4} y ^{- 3} ) ^{2}}

Simplify

(5 x^{4} y^{- 3})^{2} : \frac{25 x ^{8}}{y ^{6}}

= \frac{1}{\frac{25 x ^{8}}{y ^{6}}}

Apply the fraction rule:

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

= \frac{y ^{6}}{25 x ^{8}}

x^{8} + 4

(2 v - 1)^{3}

(x^{2} - 0.1)^{2}

15611 (x) 28 x

\frac{( 9 x ^{2} - 18 x ^{2} )}{( 3 x ^{2} )}

What is (5x^4*y^{-3})^{-2} ?
The solution to (5x^4*y^{-3})^{-2} is (y^6)/(25x^8)