en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x^{1/2}*x^{-1/2}

Solution

simplify

x^{\frac{1}{2}} \cdot x^{- \frac{1}{2}}

Solution

1

Solution steps

x^{\frac{1}{2}} x^{- \frac{1}{2}}

Apply exponent rule:

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

x^{\frac{1}{2}} x^{- \frac{1}{2}} = x^{\frac{1}{2} - \frac{1}{2}}

= x^{\frac{1}{2} - \frac{1}{2}}

Add similar elements:

\frac{1}{2} - \frac{1}{2} = 0

= x^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

= 1

Popular Examples

simplify i^{26}simplify

i^{26}

simplify 16*2 simplify

16 \cdot 2

d/(18)+3=(3d)/(54)+22

\frac{d}{18} + 3 = \frac{3 d}{54} + 22

x^{2} - 9 x + 20 = 0

simplify (2x^0y^2)^{-3}*2yx^3 simplify

(2 x^{0} y^{2})^{- 3} \cdot 2 y x^{3}

Frequently Asked Questions (FAQ)

What is x^{1/2}*x^{-1/2} ?
The solution to x^{1/2}*x^{-1/2} is 1