What is 2/(\sqrt[3]{x^2)} ?

The solution to 2/(\sqrt[3]{x^2)} is (2\sqrt[3]{x})/x

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simplify 2/(\sqrt[3]{x^2)}

simplify

Solution steps

Multiply by the conjugate

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

Simplify

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

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

x^{\frac{4}{3}} = x^{1 + \frac{1}{3}}, x^{2} = x^{1 + 1}

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

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{1 + \frac{1}{3}} = x^{1} x^{\frac{1}{3}}, x^{1 + 1} = x^{1} x^{1}

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

Cancel the common factor:

x^{1}

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

a^{- 5} \cdot a

3 (x + 2)^{2} + 1

\frac{4}{5} + \frac{4}{7}

1 + 3.322 lo g_{10} (25)

1 + 3.322 lo g_{10} (15)

What is 2/(\sqrt[3]{x^2)} ?
The solution to 2/(\sqrt[3]{x^2)} is (2\sqrt[3]{x})/x