en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 81^{-1/2}

Solution

simplify

8 1^{- \frac{1}{2}}

Solution

\frac{1}{9}

+1

Decimal Notation

0.11111 \dots

Solution steps

8 1^{- \frac{1}{2}}

Factor the number:

81 = 9^{2}

= (9^{2})^{- \frac{1}{2}}

Apply exponent rule:

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

= 9^{2 (- \frac{1}{2})}

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

= 9^{- 1}

Apply exponent rule:

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

9^{- 1} = \frac{1}{9}

= \frac{1}{9}

Popular Examples

(x - 4) (x - 2) = - 1

simplify (4x^4)^2 simplify

(4 x^{4})^{2}

4m-5(3m+10)=126

4 m - 5 (3 m + 10) = 126

simplify (n+1/2-2)(-1)/2+(-1)/2 simplify

(n + \frac{1}{2} - 2) \frac{- 1}{2} + \frac{- 1}{2}

simplify (ln(2))/(0.08)simplify

\frac{ln ( 2 )}{0.08}

Frequently Asked Questions (FAQ)

What is 81^{-1/2} ?
The solution to 81^{-1/2} is 1/9