What is 9^{1/4}*81^{-5/8} ?

The solution to 9^{1/4}*81^{-5/8} is 3^{1/2}*1/(9*3^{1/2)}

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simplify 9^{1/4}*81^{-5/8}

simplify

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

3^{\frac{1}{2}} \cdot \frac{1}{9 \cdot 3 ^{\frac{1}{2}}}

Decimal Notation

0.11111 \dots

Solution steps

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

9^{\frac{1}{4}} = 3^{\frac{1}{2}}

= 3^{\frac{1}{2}} \cdot 8 1^{- \frac{5}{8}}

8 1^{- \frac{5}{8}} = \frac{1}{9 \cdot 3 ^{\frac{1}{2}}}

= 3^{\frac{1}{2}} \cdot \frac{1}{9 \cdot 3 ^{\frac{1}{2}}}

\frac{3}{4} \times \frac{1}{2}

\frac{2 a - 7}{a} \cdot \frac{3 a ^{2}}{2 a ^{2} - 11 a + 14}

12 = p + 6.2

x^{2} + 3 x + \frac{9}{4}

\frac{2 π}{\frac{1}{8}}

What is 9^{1/4}*81^{-5/8} ?
The solution to 9^{1/4}*81^{-5/8} is 3^{1/2}*1/(9*3^{1/2)}