en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4(1/6)(5/6)^3

Solution

simplify

4 (\frac{1}{6}) (\frac{5}{6})^{3}

Solution

\frac{125}{324}

+1

Decimal Notation

0.38580 \dots

Solution steps

4 (\frac{1}{6}) (\frac{5}{6})^{3}

Apply rule:

(a) = a

(\frac{1}{6}) = \frac{1}{6}

= 4 \cdot \frac{1}{6} (\frac{5}{6})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{5}{6})^{3} = \frac{5 ^{3}}{6 ^{3}}

= 4 \cdot \frac{1}{6} \cdot \frac{5 ^{3}}{6 ^{3}}

5^{3} = 125

= 4 \cdot \frac{1}{6} \cdot \frac{125}{6 ^{3}}

6^{3} = 216

= 4 \cdot \frac{1}{6} \cdot \frac{125}{216}

4 \cdot \frac{1}{6} \cdot \frac{125}{216} = \frac{125}{324}

= \frac{125}{324}

Popular Examples

simplify (4c^{-3}d^{-3})(-7c^{-3}d)simplify

(4 c^{- 3} d^{- 3}) (- 7 c^{- 3} d)

simplify 11/12-3/8 simplify

\frac{11}{12} - \frac{3}{8}

simplify (a^3b^3c^5)/(ab^6c^2)simplify

\frac{a ^{3} b ^{3} c ^{5}}{a b ^{6} c ^{2}}

x^{2} + 6 x + 9 = 25

5 (x - 1) + x - 8 = - x

Frequently Asked Questions (FAQ)

What is 4(1/6)(5/6)^3 ?
The solution to 4(1/6)(5/6)^3 is 125/324