en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3a^2b^3c)^2

Solution

simplify

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

Solution

9 a^{4} b^{6} c^{2}

Solution steps

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

Apply exponent rule:

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

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

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

3^{2} = 9

= 9 (a^{2})^{2} (b^{3})^{2} c^{2}

Simplify

(a^{2})^{2} : a^{4}

= 9 a^{4} (b^{3})^{2} c^{2}

Simplify

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

= 9 a^{4} b^{6} c^{2}

Popular Examples

simplify \sqrt[3]{sqrt(a^9b^{12)}}simplify

expand (x+7)(x^2-7x+49)expand

(x + 7) (x^{2} - 7 x + 49)

factor 18x+27 factor

18 x + 27

simplify-6*9 simplify

- 6 \cdot 9

simplify (x+5)^2-9 simplify

(x + 5)^{2} - 9

Frequently Asked Questions (FAQ)

What is (3a^2b^3c)^2 ?
The solution to (3a^2b^3c)^2 is 9a^4b^6c^2