What is (\sqrt[4]{b^3})/(\sqrt[5]{b^2)} ?

The solution to (\sqrt[4]{b^3})/(\sqrt[5]{b^2)} is (b^{3/5}\sqrt[4]{b^3})/b

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simplify (\sqrt[4]{b^3})/(\sqrt[5]{b^2)}

simplify

Solution steps

Multiply by the conjugate

\frac{( b ^{2} ) ^{\frac{4}{5}}}{( b ^{2} ) ^{\frac{4}{5}}}

Simplify

b^{\frac{8}{5}} = b^{1 + \frac{3}{5}}, b^{2} = b^{1 + 1}

Apply exponent rule:

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

b^{1 + \frac{3}{5}} = b^{1} b^{\frac{3}{5}}, b^{1 + 1} = b^{1} b^{1}

Cancel the common factor:

b^{1}

24 x^{2} - 6

\frac{2}{\frac{2}{2}}

3 (t - 2)

3 x^{2} + 29 x + 40

(5 x + 6)^{2}

What is (\sqrt[4]{b^3})/(\sqrt[5]{b^2)} ?
The solution to (\sqrt[4]{b^3})/(\sqrt[5]{b^2)} is (b^{3/5}\sqrt[4]{b^3})/b