What is simplify+2(48/3)^{-1/4} ?

The solution to simplify+2(48/3)^{-1/4} is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify+2(48/3)^{-1/4}

simplify

+ 2 (\frac{48}{3})^{- \frac{1}{4}}

1

Solution steps

2 (\frac{48}{3})^{- \frac{1}{4}}

Apply exponent rule:

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

(\frac{48}{3})^{- \frac{1}{4}} = \frac{1}{( \frac{48}{3} ) ^{\frac{1}{4}}}

= 2 \cdot \frac{1}{( \frac{48}{3} ) ^{\frac{1}{4}}}

(\frac{48}{3})^{\frac{1}{4}} = 2

= 2 \cdot \frac{1}{2}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{1}{2}

Cross-cancel common factor:

2

= 1

(3 x - 10) (3 x - 5)

2^{- 1 - 1}

2 \times (- x)

(x + 6) (x + 3) (x - 5)