What is ((y^2)/(y^{4/5)})^{1/3} ?

The solution to ((y^2)/(y^{4/5)})^{1/3} is y^{2/5}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((y^2)/(y^{4/5)})^{1/3}

simplify

(\frac{y ^{2}}{y ^{\frac{4}{5}}})^{\frac{1}{3}}

y^{\frac{2}{5}}

Solution steps

(\frac{y ^{2}}{y ^{\frac{4}{5}}})^{\frac{1}{3}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( y ^{2} ) ^{\frac{1}{3}}}{( y ^{\frac{4}{5}} ) ^{\frac{1}{3}}}

Simplify

(y^{2})^{\frac{1}{3}} : y^{\frac{2}{3}}

= \frac{y ^{\frac{2}{3}}}{( y ^{\frac{4}{5}} ) ^{\frac{1}{3}}}

Simplify

(y^{\frac{4}{5}})^{\frac{1}{3}} : y^{\frac{4}{15}}

= \frac{y ^{\frac{2}{3}}}{y ^{\frac{4}{15}}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{y ^{\frac{2}{3}}}{y ^{\frac{4}{15}}} = y^{\frac{2}{3} - \frac{4}{15}}

= y^{\frac{2}{3} - \frac{4}{15}}

Subtract the numbers:

\frac{2}{3} - \frac{4}{15} = \frac{2}{5}

= y^{\frac{2}{5}}

x^{8} - 16 x^{4}

2 x^{3} \cdot x^{2}

x^{2} + 20 x + 36

\frac{1}{3} x - 1 \leq 5

What is ((y^2)/(y^{4/5)})^{1/3} ?
The solution to ((y^2)/(y^{4/5)})^{1/3} is y^{2/5}