en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[3]{(7a)^2}

Solution

simplify

Solution

7^{\frac{2}{3}} a^{\frac{2}{3}}

Solution steps

Apply radical rule:

= ((7 a)^{2})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (7 a)^{2 \cdot \frac{1}{3}}

2 \cdot \frac{1}{3} = \frac{2}{3}

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

Apply exponent rule:

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

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

Popular Examples

simplify 2x^2(3x^2)simplify

2 x^{2} (3 x^{2})

simplify e^{-ln(x+2)}simplify

e^{- l n (x + 2)}

simplify 3583e^{(-e^{(-0.02(250-66))})}simplify

3583 e^{(- e^{(- 0.02 (250 - 66))})}

expand sqrt((3t-1)dt)expand

(3 t - 1) d t

simplify 2.36*10^{-2}simplify

2.36 \cdot 1 0^{- 2}

Frequently Asked Questions (FAQ)

What is \sqrt[3]{(7a)^2} ?
The solution to \sqrt[3]{(7a)^2} is 7^{2/3}a^{2/3}