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

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

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

simplify

Solution steps

Multiply by the conjugate

\frac{( b ^{3} ) ^{\frac{3}{4}}}{( b ^{3} ) ^{\frac{3}{4}}}

Simplify

2 (b^{3})^{\frac{3}{4}} : 2 b^{\frac{9}{4}}

= \frac{2 b ^{\frac{9}{4}}}{b ^{3}}

b^{\frac{9}{4}} = b^{2 + \frac{1}{4}}, b^{3} = b^{2 + 1}

= \frac{2 b ^{\frac{1}{4} + 2}}{b ^{2 + 1}}

Apply exponent rule:

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

b^{2 + \frac{1}{4}} = b^{2} b^{\frac{1}{4}}, b^{2 + 1} = b^{2} b^{1}

= \frac{2 b ^{2} b ^{\frac{1}{4}}}{b ^{2} b ^{1}}

Cancel the common factor:

b^{2}

= \frac{2 b ^{\frac{1}{4}}}{b}

- 7 (- 4 s - 10 t) - 4 t - 5 (t - 5 s)

\frac{3}{21 - 3}

2 x (2 - 4 x + 3) + (3 x + 4 y) - 8 x

8.9 x (x + 2.4)

\frac{28}{3 8}

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