en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (64)^{5/6}

Solution

simplify

(64)^{\frac{5}{6}}

Solution

32

Solution steps

6 4^{\frac{5}{6}}

Factor the number:

64 = 2^{6}

= (2^{6})^{\frac{5}{6}}

Apply exponent rule:

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

= 2^{6 \cdot \frac{5}{6}}

6 \cdot \frac{5}{6} = 5

= 2^{5}

2^{5} = 32

= 32

Popular Examples

factor 12x^2-13x-4 factor

12 x^{2} - 13 x - 4

simplify 2/(sqrt(2)+1)simplify

\frac{2}{2 + 1}

factor q^2-q-56 factor

q^{2} - q - 56

2 = \frac{k - 4}{5}

simplify 7/8-1/8 simplify

\frac{7}{8} - \frac{1}{8}

Frequently Asked Questions (FAQ)

What is (64)^{5/6} ?
The solution to (64)^{5/6} is 32