What is sqrt(18x^2y^{-4)} ?

The solution to sqrt(18x^2y^{-4)} is (3sqrt(2)x)/(y^2)

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simplify sqrt(18x^2y^{-4)}

simplify

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

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

Solution steps

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

18 x^{2} y^{- 4} = 18 x^{2} y^{- 4}

= 18 x^{2} y^{- 4}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= 18 x y^{- 4}

18 = 2 \cdot 3

= 2 \cdot 3 x y^{- 4}

Simplify

y^{- 4} : \frac{1}{y ^{2}}

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

Apply the fraction rule:

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

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

Multiply the numbers:

3 \cdot 1 = 3

= \frac{2 \cdot 3 x}{y ^{2}}

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

(2 a - b)^{4}

6^{5} \cdot 6^{2}

(\frac{x ^{2} y}{3})^{3}

m^{2} - 13 m + 30

(3 a - 4 b)^{3}

What is sqrt(18x^2y^{-4)} ?
The solution to sqrt(18x^2y^{-4)} is (3sqrt(2)x)/(y^2)