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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

4-2(-10-1)=3(2-10)-10

4 - 2 (- 10 - 1) = 3 (2 - 10) - 10

factor m^4-3m^3-70m^2 factor

m^{4} - 3 m^{3} - 70 m^{2}

p_{24}=10*1/((1+1.8*0.58*24)^{-1.8)}

p_{24} = 10 \cdot \frac{1}{( 1 + 1.8 \cdot 0.58 \cdot 24 ) ^{- 1.8}}

6 y - 5 = - 3 (2 y + 1)

4 = - 4 x

Frequently Asked Questions (FAQ)

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