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

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

= 3^{- 1}

Apply exponent rule:

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

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

= \frac{1}{3}

Popular Examples

\frac{1}{3} (6 x - 9) = 15

4x+1>9\land-6x-2>10

4 x + 1 > 9 and - 6 x - 2 > 10

simplify-2-8 simplify

- 2 - 8

simplify (16!)/((16-4)!4!)simplify

\frac{16 !}{( 16 - 4 ) ! 4 !}

simplify 2/3*16 simplify

\frac{2}{3} \cdot 16

Frequently Asked Questions (FAQ)

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