What is sqrt(50x^2y^{-4)} ?

The solution to sqrt(50x^2y^{-4)} is (5sqrt(2)x)/(y^2)

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simplify sqrt(50x^2y^{-4)}

simplify

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

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

Solution steps

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

50 x^{2} y^{- 4} = 50 x^{2} y^{- 4}

= 50 x^{2} y^{- 4}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= 50 x y^{- 4}

50 = 2 \cdot 5

= 2 \cdot 5 x y^{- 4}

Simplify

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

5 \cdot 1 = 5

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

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

(- 1)^{11}

\frac{∣ 0 ∣}{0}

7^{3} \cdot 7

7 (x - 1) - 6 (x + 1)

15 t^{3} - 15 t^{2} + 20 t

What is sqrt(50x^2y^{-4)} ?
The solution to sqrt(50x^2y^{-4)} is (5sqrt(2)x)/(y^2)