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Popular >

simplify (25x^{-6}y^2)^{1/2}

Solution

simplify

(25 x^{- 6} y^{2})^{\frac{1}{2}}

Solution

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

Solution steps

(25 x^{- 6} y^{2})^{\frac{1}{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(25 x^{- 6} y^{2})^{\frac{1}{2}} = 2 5^{\frac{1}{2}} (x^{- 6})^{\frac{1}{2}} (y^{2})^{\frac{1}{2}}

= 2 5^{\frac{1}{2}} (x^{- 6})^{\frac{1}{2}} (y^{2})^{\frac{1}{2}}

2 5^{\frac{1}{2}} = 5

= 5 (x^{- 6})^{\frac{1}{2}} (y^{2})^{\frac{1}{2}}

Simplify

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

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

Simplify

(y^{2})^{\frac{1}{2}} : y

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

Simplify

5 \cdot \frac{1}{x ^{3}} y : \frac{5 y}{x ^{3}}

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

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Frequently Asked Questions (FAQ)

What is (25x^{-6}y^2)^{1/2} ?
The solution to (25x^{-6}y^2)^{1/2} is (5y)/(x^3)