en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3sqrt(x))^3

Solution

simplify

(3 x)^{3}

Solution

27 x^{3}

Solution steps

(3 x)^{3}

Apply exponent rule:

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

(3 x)^{3} = 3^{3} (x)^{3}

= 3^{3} (x)^{3}

3^{3} = 27

= 27 (x)^{3}

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

= 27 x^{\frac{3}{2}}

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

= 27 x^{3}

Popular Examples

simplify 5x^2-4(2x-3)(x-5)simplify

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

simplify (8+sqrt(-18))-(4+3sqrt(2i))simplify

(8 + - 18) - (4 + 3 2 i)

simplify x^8(2x)^4 simplify

x^{8} (2 x)^{4}

simplify 3/1*1/3 simplify

\frac{3}{1} \cdot \frac{1}{3}

factor 6a^2-7a-24 factor

6 a^{2} - 7 a - 24

Frequently Asked Questions (FAQ)

What is (3sqrt(x))^3 ?
The solution to (3sqrt(x))^3 is 27sqrt(x^3)