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Popular >

simplify sqrt(2yx)^{3/2}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

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

\frac{1}{2} \cdot \frac{3}{2} = \frac{3}{4}

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

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

What is sqrt(2yx)^{3/2} ?
The solution to sqrt(2yx)^{3/2} is 2^{3/4}(yx)^{3/4}