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Popular >

simplify 81^{-5/4}

Solution

simplify

8 1^{- \frac{5}{4}}

Solution

\frac{1}{243}

+1

Decimal Notation

0.00411 \dots

Solution steps

8 1^{- \frac{5}{4}}

Factor the number:

81 = 3^{4}

= (3^{4})^{- \frac{5}{4}}

Apply exponent rule:

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

= 3^{4 (- \frac{5}{4})}

4 (- \frac{5}{4}) = - 5

= 3^{- 5}

Apply exponent rule:

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

3^{- 5} = \frac{1}{3 ^{5}}

= \frac{1}{3 ^{5}}

3^{5} = 243

= \frac{1}{243}

Popular Examples

simplify (pi*2*700)/(60)simplify

\frac{π \cdot 2 \cdot 700}{60}

0.43=-2*10^{-6}x^2+0.0011x+0.3548

0.43 = - 2 \cdot 1 0^{- 6} x^{2} + 0.0011 x + 0.3548

- ∣ 8 x + 8 ∣ = - 40

factor 6d^2-18 factor

6 d^{2} - 18

- 2 r = 14

Frequently Asked Questions (FAQ)

What is 81^{-5/4} ?
The solution to 81^{-5/4} is 1/243