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

The solution to (-5x^3y^4)^{-5} is -1/(3125x^{15)y^{20}}

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

simplify

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

- \frac{1}{3125 x ^{15} y ^{20}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(- 5 x^{3} y^{4})^{5} : - 3125 x^{15} y^{20}

= \frac{1}{- 3125 x ^{15} y ^{20}}

Apply the fraction rule:

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

= - \frac{1}{3125 x ^{15} y ^{20}}

lo g_{2} (x + 1) - 1 lo g_{2} (2 x)

n^{2} + 100 n^{2} + 1. 1^{n}

\frac{x ^{2}}{0.0032}

8 x^{2} y - 4 x y^{2}

3 lo g_{10} (x) - lo g_{10} (y) + 2 lo g_{10} (z)

What is (-5x^3y^4)^{-5} ?
The solution to (-5x^3y^4)^{-5} is -1/(3125x^{15)y^{20}}