en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3/5 (2)^{-8/5}

Solution

simplify

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

Solution

\frac{3}{2 ^{\frac{3}{5}} \cdot 10}

+1

Decimal Notation

0.19792 \dots

Solution steps

\frac{3}{5} \cdot 2^{- \frac{8}{5}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

2^{- \frac{8}{5}} = \frac{1}{2 ^{\frac{8}{5}}}

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

2^{\frac{8}{5}} = 2 \cdot 2^{\frac{3}{5}}

= \frac{3}{5} \cdot \frac{1}{2 \cdot 2 ^{\frac{3}{5}}}

\frac{3}{5} \cdot \frac{1}{2 \cdot 2 ^{\frac{3}{5}}} = \frac{3}{2 ^{\frac{3}{5}} \cdot 10}

= \frac{3}{2 ^{\frac{3}{5}} \cdot 10}

Popular Examples

10 - 2 x > 4

(x + 5)^{2} = 4

factor 3x^2+31x+36 factor

3 x^{2} + 31 x + 36

factor a^3-a^2-a+1 factor

a^{3} - a^{2} - a + 1

simplify (11!)/((11-6)!6!)simplify

\frac{11 !}{( 11 - 6 ) ! 6 !}

Frequently Asked Questions (FAQ)

What is 3/5 (2)^{-8/5} ?
The solution to 3/5 (2)^{-8/5} is 3/(2^{3/5)*10}