en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt((x-7)^3)

Solution

simplify

(x - 7)^{3}

Solution

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

Solution steps

(x - 7)^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

Popular Examples

simplify b^8(2b)3 simplify

b^{8} (2 b) 3

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

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

simplify e^{-x}*e^x*4e^{2x}simplify

e^{- x} \cdot e^{x} \cdot 4 e^{2 x}

simplify (5x-6y^2)^2(5x+6y^2)^2 simplify

(5 x - 6 y^{2})^{2} (5 x + 6 y^{2})^{2}

simplify-3.14x10^{-3}simplify

- 3.14 x 1 0^{- 3}

Frequently Asked Questions (FAQ)

What is sqrt((x-7)^3) ?
The solution to sqrt((x-7)^3) is (x-7)^{3/2}