en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((2b)^3)/(6b^5)

Solution

simplify

\frac{( 2 b ) ^{3}}{6 b ^{5}}

Solution

\frac{4}{3 b ^{2}}

Solution steps

\frac{( 2 b ) ^{3}}{6 b ^{5}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 b)^{3} = 2^{3} b^{3}

= \frac{2 ^{3} b ^{3}}{6 b ^{5}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 ^{3} b ^{3}}{2 \cdot 3 b ^{5}}

\frac{2 ^{3}}{2} = 2^{2}

= \frac{2 ^{2} b ^{3}}{3 b ^{5}}

Simplify

\frac{b ^{3}}{b ^{5}} : \frac{1}{b ^{2}}

= \frac{2 ^{2}}{3 b ^{2}}

2^{2} = 4

= \frac{4}{3 b ^{2}}

Popular Examples

simplify (x+2)(x+3)-(x+4)(x+1)simplify

(x + 2) (x + 3) - (x + 4) (x + 1)

simplify (-2)-(-2)simplify

(- 2) - (- 2)

simplify \sqrt[3]{16}+3\sqrt[3]{54}simplify

simplify [(3(2a)^3)/2 ]^2 simplify

[\frac{3 ( 2 a ) ^{3}}{2}]^{2}

simplify (8z^7x)/(12x^5yz^{-2)}simplify

\frac{8 z ^{7} x}{12 x ^{5} y z ^{- 2}}

Frequently Asked Questions (FAQ)

What is ((2b)^3)/(6b^5) ?
The solution to ((2b)^3)/(6b^5) is 4/(3b^2)