What is simplify-v^{-1/3}*(-3)v^{4/3} ?

The solution to simplify-v^{-1/3}*(-3)v^{4/3} is 3v

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-v^{-1/3}*(-3)v^{4/3}

simplify

- v^{- \frac{1}{3}} \cdot (- 3) v^{\frac{4}{3}}

3 v

Solution steps

- v^{- \frac{1}{3}} (- 3) v^{\frac{4}{3}}

Apply rule:

- a (- b) = ab

- v^{- \frac{1}{3}} (- 3) = v^{- \frac{1}{3}} \cdot 3

= v^{- \frac{1}{3}} \cdot 3 v^{\frac{4}{3}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

v^{- \frac{1}{3}} v^{\frac{4}{3}} = v^{- \frac{1}{3} + \frac{4}{3}}

= v^{- \frac{1}{3} + \frac{4}{3}} \cdot 3

- \frac{1}{3} + \frac{4}{3} = 1

= v^{1} \cdot 3

Apply exponent rule:

a^{1} = a

v^{1} = v

= v \cdot 3

= 3 v

\frac{1}{5 + 2}

3 \cdot 3 \cdot 3 \cdot 3 \cdot 3

- \frac{1}{2} \times (- 1)

\frac{1 + 2}{2}

2 x^{2} \times 3 x

What is simplify-v^{-1/3}*(-3)v^{4/3} ?
The solution to simplify-v^{-1/3}*(-3)v^{4/3} is 3v