What is x^2\sqrt[4]{xy^{-2}z^3} ?

The solution to x^2\sqrt[4]{xy^{-2}z^3} is (x^2\sqrt[4]{x}\sqrt[4]{z^3})/(\sqrt[4]{y^2)}

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simplify x^2\sqrt[4]{xy^{-2}z^3}

simplify

x^{2} 4 x y^{- 2} z^{3}

\frac{x ^{2} 4 x 4 z ^{3}}{4 y ^{2}}

Solution steps

x^{2} 4 x y^{- 2} z^{3}

Simplify

4 x y^{- 2} z^{3} : 4 x \frac{1}{4 y ^{2}} 4 z^{3}

= x^{2} 4 x \frac{1}{4 y ^{2}} 4 z^{3}

Apply the fraction rule:

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

= \frac{x ^{2} 4 x \cdot 1 \cdot 4 z ^{3}}{4 y ^{2}}

Apply rule:

a \cdot 1 = a

x^{2} 4 x \cdot 1 \cdot 4 z^{3} = x^{2} 4 x 4 z^{3}

= \frac{x ^{2} 4 x 4 z ^{3}}{4 y ^{2}}

s (s + 10) (s + 8)

1458

\frac{3 x + 24}{x - 1} \cdot \frac{x ^{2} - 4}{x ^{2} + 6 x - 16}

(2 n^{2} + 5 n + 3) (4 n - 5)

x - 9 + 3 x - x^{2}

What is x^2\sqrt[4]{xy^{-2}z^3} ?
The solution to x^2\sqrt[4]{xy^{-2}z^3} is (x^2\sqrt[4]{x}\sqrt[4]{z^3})/(\sqrt[4]{y^2)}