What is (5x^4y^3)^{2/3} ?

The solution to (5x^4y^3)^{2/3} is 5^{2/3}x^{8/3}y^2

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simplify (5x^4y^3)^{2/3}

simplify

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

5^{\frac{2}{3}} x^{\frac{8}{3}} y^{2}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(x^{4})^{\frac{2}{3}} : x^{\frac{8}{3}}

= 5^{\frac{2}{3}} x^{\frac{8}{3}} (y^{3})^{\frac{2}{3}}

Simplify

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

= 5^{\frac{2}{3}} x^{\frac{8}{3}} y^{2}

\frac{3}{4} \times \frac{4}{3}

\frac{2}{9} - \frac{5}{6} \div \frac{4}{3}

h u mm e l - b^{957}

\frac{3 + i ^{240} + 2 i}{1 - i ^{415} - i} + i^{- 17}