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Popular >

simplify (4x^4y^{-3})^{1/2}

Solution

simplify

(4 x^{4} y^{- 3})^{\frac{1}{2}}

Solution

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

Solution steps

(4 x^{4} y^{- 3})^{\frac{1}{2}}

Apply exponent rule:

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

(4 x^{4} y^{- 3})^{\frac{1}{2}} = 4^{\frac{1}{2}} (x^{4})^{\frac{1}{2}} (y^{- 3})^{\frac{1}{2}}

= 4^{\frac{1}{2}} (x^{4})^{\frac{1}{2}} (y^{- 3})^{\frac{1}{2}}

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

= 2 (x^{4})^{\frac{1}{2}} (y^{- 3})^{\frac{1}{2}}

Simplify

(x^{4})^{\frac{1}{2}} : x^{2}

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

Simplify

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

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

Simplify

2 x^{2} \frac{1}{y ^{\frac{3}{2}}} : \frac{2 x ^{2}}{y ^{\frac{3}{2}}}

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

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Frequently Asked Questions (FAQ)

What is (4x^4y^{-3})^{1/2} ?
The solution to (4x^4y^{-3})^{1/2} is (2x^2)/(y^{3/2)}