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Popular >

simplify (2x^{3/2})^2

Solution

simplify

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

Solution

4 x^{3}

Solution steps

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

Apply exponent rule:

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

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

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

2^{2} = 4

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

Apply exponent rule:

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

assuming

a \geq 0

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

= 4 x^{\frac{3}{2} \cdot 2}

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

= 4 x^{3}

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Frequently Asked Questions (FAQ)

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