en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand sqrt(x^5)

Solution

expand

x^{5}

Solution

x^{2} x

Solution steps

x^{5}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= x^{4} x^{1}

Apply radical rule:

a \cdot b = a b

= x^{4} x^{1}

Apply exponent rule:

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

x^{4} = x^{2 \cdot 2} = (x^{2})^{2}

= (x^{2})^{2} x^{1}

Apply radical rule:

assuming

a \geq 0

(x^{2})^{2} = x^{2}

= x^{2} x^{1}

Apply rule

a^{1} = a

x^{1} = x

= x^{2} x

Popular Examples

expand (2x+5(5x^4-2))/x expand

\frac{2 x + 5 ( 5 x ^{4} - 2 )}{x}

expand x(3+12x=0)expand

x (3 + 12 x = 0)

expand (2(x^2+x+1))/(x-2)expand

\frac{2 ( x ^{2} + x + 1 )}{x - 2}

expand ((x+2)(x-3))/(x^2+2z-15)expand

\frac{( x + 2 ) ( x - 3 )}{x ^{2} + 2 z - 15}

expand (x+3)/(x(x+6))expand

\frac{x + 3}{x ( x + 6 )}

Frequently Asked Questions (FAQ)

What is expand sqrt(x^5) ?
The solution to expand sqrt(x^5) is x^2sqrt(x)