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Popular >

simplify 81^{(-1)/4}

Solution

simplify

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

Solution

\frac{1}{3}

+1

Solution steps

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

Factor the number:

81 = 3^{4}

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

Apply exponent rule:

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

= 3^{4 \cdot \frac{- 1}{4}}

4 \cdot \frac{- 1}{4} = - 1

= 3^{- 1}

Apply exponent rule:

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

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

= \frac{1}{3}

Popular Examples

simplify 0.01^3 simplify

0.0 1^{3}

4 x^{2} - 9 x - 2 = 0

factor 5x^3+40 factor

5 x^{3} + 40

((2x+1)(3-x))/((x^2+6x+8)(x^2+1))<= 0

\frac{( 2 x + 1 ) ( 3 - x )}{( x ^{2} + 6 x + 8 ) ( x ^{2} + 1 )} \leq 0

9 x^{4} - x = 40

Frequently Asked Questions (FAQ)

What is 81^{(-1)/4} ?
The solution to 81^{(-1)/4} is 1/3