en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 256^{-1/4}

Solution

simplify

25 6^{- \frac{1}{4}}

Solution

\frac{1}{4}

+1

Solution steps

25 6^{- \frac{1}{4}}

Factor the number:

256 = 4^{4}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

4 (- \frac{1}{4}) = - 1

= 4^{- 1}

Apply exponent rule:

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

4^{- 1} = \frac{1}{4}

= \frac{1}{4}

Popular Examples

simplify sqrt(3^6)simplify

3^{6}

simplify 2/3*5/9 simplify

\frac{2}{3} \cdot \frac{5}{9}

2 (x + 2 x) = 36

factor 24ab-16a^2-9b^2 factor

24 ab - 16 a^{2} - 9 b^{2}

simplify 1/2+3/2 simplify

\frac{1}{2} + \frac{3}{2}

Frequently Asked Questions (FAQ)

What is 256^{-1/4} ?
The solution to 256^{-1/4} is 1/4