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Popular >

simplify (25x^4y)^{3/2}

Solution

simplify

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

Solution

125 x^{6} y^{\frac{3}{2}}

Solution steps

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

Apply exponent rule:

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

(25 x^{4} y)^{\frac{3}{2}} = 2 5^{\frac{3}{2}} (x^{4})^{\frac{3}{2}} y^{\frac{3}{2}}

= 2 5^{\frac{3}{2}} (x^{4})^{\frac{3}{2}} y^{\frac{3}{2}}

2 5^{\frac{3}{2}} = 125

= 125 (x^{4})^{\frac{3}{2}} y^{\frac{3}{2}}

Simplify

(x^{4})^{\frac{3}{2}} : x^{6}

= 125 x^{6} y^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is (25x^4y)^{3/2} ?
The solution to (25x^4y)^{3/2} is 125x^6y^{3/2}