en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 64^{(-7/6)}

Solution

simplify

6 4^{(- \frac{7}{6})}

Solution

\frac{1}{128}

+1

Decimal Notation

0.0078125

Solution steps

6 4^{- \frac{7}{6}}

Factor the number:

64 = 2^{6}

= (2^{6})^{- \frac{7}{6}}

Apply exponent rule:

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

= 2^{6 (- \frac{7}{6})}

6 (- \frac{7}{6}) = - 7

= 2^{- 7}

Apply exponent rule:

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

2^{- 7} = \frac{1}{2 ^{7}}

= \frac{1}{2 ^{7}}

2^{7} = 128

= \frac{1}{128}

Popular Examples

simplify 4/(5+3i)simplify

\frac{4}{5 + 3 i}

simplify sqrt(32400)simplify

32400

simplify 3-10/3 simplify

3 - \frac{10}{3}

simplify-2/3 \times (-6)simplify

- \frac{2}{3} \times (- 6)

rationalize 4/(sqrt(6))rationalize

\frac{4}{6}

Frequently Asked Questions (FAQ)

What is 64^{(-7/6)} ?
The solution to 64^{(-7/6)} is 1/128