What is (64^{5/9}*64^{2/9})/(4^{3/4)} ?

The solution to (64^{5/9}*64^{2/9})/(4^{3/4)} is 8*2^{1/6}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (64^{5/9}*64^{2/9})/(4^{3/4)}

simplify

\frac{6 4 ^{\frac{5}{9}} \cdot 6 4 ^{\frac{2}{9}}}{4 ^{\frac{3}{4}}}

8 \cdot 2^{\frac{1}{6}}

Decimal Notation

8.97969 \dots

Solution steps

\frac{6 4 ^{\frac{5}{9}} \cdot 6 4 ^{\frac{2}{9}}}{4 ^{\frac{3}{4}}}

Factor

6 4^{\frac{5}{9}} : 4^{\frac{5}{3}}

= \frac{4 ^{\frac{5}{3}} \cdot 6 4 ^{\frac{2}{9}}}{4 ^{\frac{3}{4}}}

Simplify

\frac{4 ^{\frac{5}{3}}}{4 ^{\frac{3}{4}}} : 4^{\frac{11}{12}}

= 4^{\frac{11}{12}} \cdot 6 4^{\frac{2}{9}}

4^{\frac{11}{12}} \cdot 6 4^{\frac{2}{9}} = 8 \cdot 2^{\frac{1}{6}}

= 8 \cdot 2^{\frac{1}{6}}

\frac{- 1}{4} (- 8 r) = \frac{- 1}{4} (- 36)

\frac{1}{16.62 + 3} + \frac{1}{16.62}

3 x^{2} + 3 x - 4 = 0

3 x^{2} + 5 x + 1 = 0

What is (64^{5/9}*64^{2/9})/(4^{3/4)} ?
The solution to (64^{5/9}*64^{2/9})/(4^{3/4)} is 8*2^{1/6}