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Popular >

simplify (3x^{1/3})^2

Solution

simplify

(3 x^{\frac{1}{3}})^{2}

Solution

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

Solution steps

(3 x^{\frac{1}{3}})^{2}

Apply exponent rule:

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

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

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

3^{2} = 9

= 9 (x^{\frac{1}{3}})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= 9 x^{\frac{1}{3} \cdot 2}

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

= 9 x^{\frac{2}{3}}

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40 \cdot 0.4

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simplify (2.99)/(2.99-3)simplify

\frac{2.99}{2.99 - 3}

3 x^{2} + 4 x + 5 = 0

simplify (-32)^{6/3}simplify

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Frequently Asked Questions (FAQ)

What is (3x^{1/3})^2 ?
The solution to (3x^{1/3})^2 is 9x^{2/3}