What is (2^{2/3}*16^{2/3})/(4^{2/3)} ?

The solution to (2^{2/3}*16^{2/3})/(4^{2/3)} is 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2^{2/3}*16^{2/3})/(4^{2/3)}

simplify

\frac{2 ^{\frac{2}{3}} \cdot 1 6 ^{\frac{2}{3}}}{4 ^{\frac{2}{3}}}

4

Solution steps

\frac{2 ^{\frac{2}{3}} \cdot 1 6 ^{\frac{2}{3}}}{4 ^{\frac{2}{3}}}

Factor

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

= \frac{2 ^{\frac{2}{3}} \cdot 1 6 ^{\frac{2}{3}}}{2 ^{\frac{4}{3}}}

Simplify

\frac{2 ^{\frac{2}{3}}}{2 ^{\frac{4}{3}}} : \frac{1}{2 ^{\frac{2}{3}}}

= \frac{1 6 ^{\frac{2}{3}}}{2 ^{\frac{2}{3}}}

Factor

1 6^{\frac{2}{3}} : 2^{\frac{8}{3}}

= \frac{2 ^{\frac{8}{3}}}{2 ^{\frac{2}{3}}}

Simplify

\frac{2 ^{\frac{8}{3}}}{2 ^{\frac{2}{3}}} : 2^{2}

= 2^{2}

2^{2} = 4

= 4

\frac{π}{\frac{2}{4}}

\frac{( 27 ) ^{- \frac{2}{3}}}{( 16 ) ^{\frac{1}{4}}}

15 x < - 1 or 2 x > 0

6 z - 4 \leq 3 z + 2

\frac{2}{5} (x + 3)^{2} + 8 = - 32

What is (2^{2/3}*16^{2/3})/(4^{2/3)} ?
The solution to (2^{2/3}*16^{2/3})/(4^{2/3)} is 4