en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3(2x)^{-3}

Solution

simplify

3 (2 x)^{- 3}

Solution

\frac{3}{8 x ^{3}}

Solution steps

3 (2 x)^{- 3}

Apply exponent rule:

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

(2 x)^{- 3} = \frac{1}{( 2 x ) ^{3}}

= 3 \cdot \frac{1}{( 2 x ) ^{3}}

Simplify

(2 x)^{3} : 8 x^{3}

= 3 \cdot \frac{1}{8 x ^{3}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 \cdot 1}{8 x ^{3}}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3}{8 x ^{3}}

Popular Examples

simplify 2+2/4 simplify

2 + \frac{2}{4}

factor-8a-14ay factor

- 8 a - 14 a y

simplify sqrt(-75x^9)simplify

- 75 x^{9}

simplify (3^7)/(3^0)simplify

\frac{3 ^{7}}{3 ^{0}}

expand-(x-3)(x+3)expand

- (x - 3) (x + 3)

Frequently Asked Questions (FAQ)

What is 3(2x)^{-3} ?
The solution to 3(2x)^{-3} is 3/(8x^3)