en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (27x^3)^{2/3}

Solution

simplify

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

Solution

9 x^{2}

Solution steps

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

Apply exponent rule:

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

(27 x^{3})^{\frac{2}{3}} = 2 7^{\frac{2}{3}} (x^{3})^{\frac{2}{3}}

= 2 7^{\frac{2}{3}} (x^{3})^{\frac{2}{3}}

2 7^{\frac{2}{3}} = 9

= 9 (x^{3})^{\frac{2}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

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

= 9 x^{3 \cdot \frac{2}{3}}

3 \cdot \frac{2}{3} = 2

= 9 x^{2}

Popular Examples

factor 5x^2+5xy-5x^2y factor

5 x^{2} + 5 x y - 5 x^{2} y

simplify \sqrt[4]{16}simplify

e^{8} = x

factor x^4-16x^2+64 factor

x^{4} - 16 x^{2} + 64

simplify 1+1/6 simplify

1 + \frac{1}{6}

Frequently Asked Questions (FAQ)

What is (27x^3)^{2/3} ?
The solution to (27x^3)^{2/3} is 9x^2