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Popular >

simplify 121^{-1/2}

Solution

simplify

12 1^{- \frac{1}{2}}

Solution

\frac{1}{11}

+1

Decimal Notation

0.09090 \dots

Solution steps

12 1^{- \frac{1}{2}}

Factor the number:

121 = 1 1^{2}

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

Apply exponent rule:

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

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

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

= 1 1^{- 1}

Apply exponent rule:

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

1 1^{- 1} = \frac{1}{11}

= \frac{1}{11}

Popular Examples

simplify (sqrt(1/32)-sqrt(1/8))/(sqrt(1/4))simplify

\frac{\frac{1}{32} - \frac{1}{8}}{\frac{1}{4}}

- 10 x^{2} + 13 x + 3 = 0

x^{2} + 18 x - 20 = 0

simplify 1/8+1/8+1/4 simplify

\frac{1}{8} + \frac{1}{8} + \frac{1}{4}

- 3 x (x - 2) > 24

Frequently Asked Questions (FAQ)

What is 121^{-1/2} ?
The solution to 121^{-1/2} is 1/11