en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3(2a^2b)^3

Solution

simplify

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

Solution

24 a^{6} b^{3}

Solution steps

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

Apply exponent rule:

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

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

= 3 \cdot 2^{3} (a^{2})^{3} b^{3}

2^{3} = 8

= 3 \cdot 8 (a^{2})^{3} b^{3}

Simplify

(a^{2})^{3} : a^{6}

= 3 \cdot 8 a^{6} b^{3}

Multiply the numbers:

3 \cdot 8 = 24

= 24 a^{6} b^{3}

Popular Examples

simplify x^4-2^4 simplify

x^{4} - 2^{4}

simplify-1/3+5 simplify

- \frac{1}{3} + 5

simplify 4/5+7/10 simplify

\frac{4}{5} + \frac{7}{10}

expand (-x^2+3x-4)(x^2-5x-1)expand

(- x^{2} + 3 x - 4) (x^{2} - 5 x - 1)

simplify (-8i)(-5-6i)simplify

(- 8 i) (- 5 - 6 i)

Frequently Asked Questions (FAQ)

What is 3(2a^2b)^3 ?
The solution to 3(2a^2b)^3 is 24a^6b^3