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Popular >

simplify 9^{-1/4}

Solution

simplify

9^{- \frac{1}{4}}

Solution

\frac{1}{3 ^{\frac{1}{2}}}

+1

Decimal Notation

0.57735 \dots

Solution steps

9^{- \frac{1}{4}}

Factor the number:

9 = 3^{2}

= (3^{2})^{- \frac{1}{4}}

Apply exponent rule:

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

= 3^{2 (- \frac{1}{4})}

2 (- \frac{1}{4}) = - \frac{1}{2}

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

Apply exponent rule:

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

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

= \frac{1}{3 ^{\frac{1}{2}}}

Popular Examples

factor 3^3-3^22x+3*2x^2-2x^3 factor

3^{3} - 3^{2} 2 x + 3 \cdot 2 x^{2} - 2 x^{3}

- 3 (x^{2} - 4) - 10 = 0

2x+1/3 =(2-3x)/4+1

2 x + \frac{1}{3} = \frac{2 - 3 x}{4} + 1

factor 3x^3+5x^2-3x-2 factor

3 x^{3} + 5 x^{2} - 3 x - 2

1 + 3 x = - x + 4

Frequently Asked Questions (FAQ)

What is 9^{-1/4} ?
The solution to 9^{-1/4} is 1/(3^{1/2)}