en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 16^{(-1)/2}

Solution

simplify

1 6^{\frac{- 1}{2}}

Solution

\frac{1}{4}

+1

Solution steps

1 6^{\frac{- 1}{2}}

Factor the number:

16 = 4^{2}

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

Apply exponent rule:

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

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

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

= 4^{- 1}

Apply exponent rule:

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

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

= \frac{1}{4}

Popular Examples

simplify (3/4)/(5/12)simplify

\frac{\frac{3}{4}}{\frac{5}{12}}

simplify 5/12-8/15 simplify

\frac{5}{12} - \frac{8}{15}

\frac{5}{6} \cdot n = 10

-2sqrt(x-3)<= 22

- 2 x - 3 \leq 22

factor 6a^2-7a+1 factor

6 a^{2} - 7 a + 1

Frequently Asked Questions (FAQ)

What is 16^{(-1)/2} ?
The solution to 16^{(-1)/2} is 1/4