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Popular >

simplify-9^{-1/2}

Solution

simplify

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

Solution

- \frac{1}{3}

+1

Decimal Notation

- 0.33333 \dots

Solution steps

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

Factor the number:

9 = 3^{2}

= - (3^{2})^{- \frac{1}{2}}

Apply exponent rule:

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

= - 3^{2 (- \frac{1}{2})}

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

= - 3^{- 1}

Apply exponent rule:

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

3^{- 1} = \frac{1}{3}

= - \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is simplify-9^{-1/2} ?
The solution to simplify-9^{-1/2} is -1/3