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

The solution to \sqrt[3]{d^2}*(sqrt(d^3))/(d^2) is \sqrt[6]{d}

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

simplify

Solution steps

Cancel

\frac{d ^{3}}{d ^{2}} : \frac{1}{d}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

Apply rule:

a \cdot 1 = a

Simplify

= \frac{d ^{\frac{2}{3}}}{d}

Apply radical rule:

a = a^{\frac{1}{2}}

d = d^{\frac{1}{2}}

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

Simplify

e^{- 36.5}

(9 \cdot 1 0^{16}) (7 \cdot 1 0^{- 11})

- 2.18 \cdot 1 0^{- 18} (\frac{1}{2 ^{2}} - \frac{1}{3 ^{2}})

4.9 \cdot 1 0^{- 5}

What is \sqrt[3]{d^2}*(sqrt(d^3))/(d^2) ?
The solution to \sqrt[3]{d^2}*(sqrt(d^3))/(d^2) is \sqrt[6]{d}