en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5^{-4})^{1/2}

Solution

simplify

(5^{- 4})^{\frac{1}{2}}

Solution

\frac{1}{25}

+1

Decimal Notation

0.04

Solution steps

(5^{- 4})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 5^{- 4 \cdot \frac{1}{2}}

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

= 5^{- 2}

Apply exponent rule:

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

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

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

5^{2} = 25

= \frac{1}{25}

Popular Examples

\frac{81}{72}

expand (2x-4)(3x+2)expand

(2 x - 4) (3 x + 2)

simplify a^2+a^2+a^2 simplify

a^{2} + a^{2} + a^{2}

factor p^3-27z^3 factor

p^{3} - 27 z^{3}

simplify (81)/((-9))simplify

\frac{81}{( - 9 )}

Frequently Asked Questions (FAQ)

What is (5^{-4})^{1/2} ?
The solution to (5^{-4})^{1/2} is 1/25