en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 25^{4^{-1/2}}

Solution

simplify

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

Solution

5

Solution steps

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

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

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

Factor the number:

25 = 5^{2}

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

Apply exponent rule:

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

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

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

= 5^{1}

Apply exponent rule:

a^{1} = a

= 5

Popular Examples

simplify-6\times 2/3 simplify

- 6 \times \frac{2}{3}

simplify 60/1000 simplify

\frac{60}{1000}

simplify 2i-2i simplify

2 i - 2 i

simplify 2/3 \times 3/1 simplify

\frac{2}{3} \times \frac{3}{1}

simplify (x^2-16)/(x^2+x-20)simplify

\frac{x ^{2} - 16}{x ^{2} + x - 20}

Frequently Asked Questions (FAQ)

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