en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3a^2b^4)^3

Solution

simplify

(3 a^{2} b^{4})^{3}

Solution

27 a^{6} b^{12}

Solution steps

(3 a^{2} b^{4})^{3}

Apply exponent rule:

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

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

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

3^{3} = 27

= 27 (a^{2})^{3} (b^{4})^{3}

Simplify

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

= 27 a^{6} (b^{4})^{3}

Simplify

(b^{4})^{3} : b^{12}

= 27 a^{6} b^{12}

Popular Examples

simplify (39)/(-3)simplify

\frac{39}{- 3}

simplify (3t)^2 simplify

(3 t)^{2}

simplify (8x^5y^2)/(x^7y^7)simplify

\frac{8 x ^{5} y ^{2}}{x ^{7} y ^{7}}

simplify-3x^2-x-10+10x^2+x-10 simplify

- 3 x^{2} - x - 10 + 10 x^{2} + x - 10

simplify (sqrt(3))(sqrt(3))simplify

(3) (3)

Frequently Asked Questions (FAQ)

What is (3a^2b^4)^3 ?
The solution to (3a^2b^4)^3 is 27a^6b^{12}