What is sqrt(75x^2y^{-4)} ?

The solution to sqrt(75x^2y^{-4)} is (5sqrt(3)x)/(y^2)

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simplify sqrt(75x^2y^{-4)}

simplify

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

\frac{5 3 x}{y ^{2}}

Solution steps

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

75 x^{2} y^{- 4} = 75 x^{2} y^{- 4}

= 75 x^{2} y^{- 4}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= 75 x y^{- 4}

75 = 3 \cdot 5

= 3 \cdot 5 x y^{- 4}

Simplify

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

= 3 \cdot 5 x \frac{1}{y ^{2}}

Apply the fraction rule:

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

= \frac{3 \cdot 5 x \cdot 1}{y ^{2}}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{3 \cdot 5 x}{y ^{2}}

= \frac{5 3 x}{y ^{2}}

(3 - 4 m)^{2}

10 a^{2} + 87 a^{2} - 90 a - 792

10 a^{2} + 91 a^{2} + 54 a - 792

10 a^{3} + 139 a^{2} + 6069 + 792

18 a^{2} + 22 a^{2} - 360 a - 792

What is sqrt(75x^2y^{-4)} ?
The solution to sqrt(75x^2y^{-4)} is (5sqrt(3)x)/(y^2)