en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[-5]{100000^2}

Solution

simplify

Solution

\frac{1}{100}

+1

Solution steps

Apply radical rule:

= (10000 0^{2})^{\frac{1}{- 5}}

Apply exponent rule:

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

= 10000 0^{2 \cdot \frac{1}{- 5}}

2 \cdot \frac{1}{- 5} = - \frac{2}{5}

= 10000 0^{- \frac{2}{5}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{10000 0 ^{\frac{2}{5}}}

10000 0^{\frac{2}{5}} = 100

= \frac{1}{100}

Popular Examples

simplify 8^8e^{-8}simplify

8^{8} e^{- 8}

simplify (3^x)/(7^x)simplify

\frac{3 ^{x}}{7 ^{x}}

simplify sqrt(5)\times sqrt(5)\times sqrt(5)simplify

5 \times 5 \times 5

simplify (1+e^{-x})^{-2}simplify

(1 + e^{- x})^{- 2}

simplify (3a^2)(5ab)simplify

(3 a^{2}) (5 ab)

Frequently Asked Questions (FAQ)

What is \sqrt[-5]{100000^2} ?
The solution to \sqrt[-5]{100000^2} is 1/100