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

The solution to (\sqrt[3]{a^2})/(a^2)*(a^3)/(sqrt(a)) is \sqrt[6]{a^7}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

Solution steps

Cancel

= \frac{1}{a ^{\frac{4}{3}}} \cdot \frac{a ^{3}}{a}

Cancel

\frac{a ^{3}}{a} : a^{2} a

= \frac{1}{a ^{\frac{4}{3}}} a^{2} a

Apply the fraction rule:

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

= \frac{1 \cdot a ^{2} a}{a ^{\frac{4}{3}}}

Apply rule:

1 \cdot a = a

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

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

Simplify

\frac{a ^{2}}{a ^{\frac{4}{3}}} : a^{\frac{2}{3}}

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

Apply radical rule:

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

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

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

Apply exponent rule:

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

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

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

\frac{2}{3} + \frac{1}{2} = \frac{7}{6}

= a^{\frac{7}{6}}

e^{- 2 \cdot 0.5}

e^{- 2 x} (\frac{e ^{- 2 x}}{x ^{2}})

(- \frac{1}{2} e^{2 x} + \frac{1}{6} e^{3 x}) (\frac{1}{3} e^{- 4 x})

e^{- 0.0001216}

50 e^{- 0.223 \cdot 3}

What is (\sqrt[3]{a^2})/(a^2)*(a^3)/(sqrt(a)) ?
The solution to (\sqrt[3]{a^2})/(a^2)*(a^3)/(sqrt(a)) is \sqrt[6]{a^7}