What is ((2^58^2)/(4^3))^{5/3} ?

The solution to ((2^58^2)/(4^3))^{5/3} is 256*2^{1/3}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((2^58^2)/(4^3))^{5/3}

simplify

(\frac{2 ^{5} 8 ^{2}}{4 ^{3}})^{\frac{5}{3}}

256 \cdot 2^{\frac{1}{3}}

Decimal Notation

322.53978 \dots

Solution steps

(\frac{2 ^{5} \cdot 8 ^{2}}{4 ^{3}})^{\frac{5}{3}}

Apply exponent rule:

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

= \frac{( 2 ^{5} \cdot 8 ^{2} ) ^{\frac{5}{3}}}{( 4 ^{3} ) ^{\frac{5}{3}}}

(2^{5} \cdot 8^{2})^{\frac{5}{3}} = 262144 \cdot 2^{\frac{1}{3}}

= \frac{262144 \cdot 2 ^{\frac{1}{3}}}{( 4 ^{3} ) ^{\frac{5}{3}}}

(4^{3})^{\frac{5}{3}} = 1024

= \frac{262144 \cdot 2 ^{\frac{1}{3}}}{1024}

Divide the numbers:

\frac{262144}{1024} = 256

= 256 \cdot 2^{\frac{1}{3}}

i^{300}

i^{460}

\frac{( 4 z ^{- 2} x ^{3} ) ^{2}}{2 z ^{5} x ^{2}}

1 + 1

9 \frac{2}{3}

What is ((2^58^2)/(4^3))^{5/3} ?
The solution to ((2^58^2)/(4^3))^{5/3} is 256*2^{1/3}