What is (4x^2y^3)^{-2}(-x^{10})^2 ?

The solution to (4x^2y^3)^{-2}(-x^{10})^2 is (x^{16})/(16y^6)

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simplify (4x^2y^3)^{-2}(-x^{10})^2

simplify

(4 x^{2} y^{3})^{- 2} (- x^{10})^{2}

\frac{x ^{16}}{16 y ^{6}}

Solution steps

(4 x^{2} y^{3})^{- 2} (- x^{10})^{2}

Simplify

(4 x^{2} y^{3})^{- 2} : \frac{1}{16 x ^{4} y ^{6}}

= \frac{1}{16 x ^{4} y ^{6}} (- x^{10})^{2}

Simplify

(- x^{10})^{2} : x^{20}

= \frac{1}{16 x ^{4} y ^{6}} x^{20}

Apply the fraction rule:

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

= \frac{1 \cdot x ^{20}}{16 x ^{4} y ^{6}}

Apply rule:

1 \cdot a = a

1 \cdot x^{20} = x^{20}

= \frac{x ^{20}}{16 x ^{4} y ^{6}}

Simplify

\frac{x ^{20}}{x ^{4}} : x^{16}

= \frac{x ^{16}}{16 y ^{6}}

5 x + 7 = - 8

- \frac{9 + a}{15} > 1

6175

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

\frac{3 3}{2}

What is (4x^2y^3)^{-2}(-x^{10})^2 ?
The solution to (4x^2y^3)^{-2}(-x^{10})^2 is (x^{16})/(16y^6)