What is 3^{-4/3}*9^{-4/3} ?

The solution to 3^{-4/3}*9^{-4/3} is 1/(3^{1/3)*9^{1/3}*27}

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simplify 3^{-4/3}*9^{-4/3}

simplify

3^{- \frac{4}{3}} \cdot 9^{- \frac{4}{3}}

\frac{1}{3 ^{\frac{1}{3}} \cdot 9 ^{\frac{1}{3}} \cdot 27}

Decimal

0.01234 \dots

Solution steps

3^{- \frac{4}{3}} \cdot 9^{- \frac{4}{3}}

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

= \frac{1}{3 \cdot 3 ^{\frac{1}{3}}} \cdot 9^{- \frac{4}{3}}

9^{- \frac{4}{3}} = \frac{1}{9 \cdot 9 ^{\frac{1}{3}}}

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

\frac{1}{3 \cdot 3 ^{\frac{1}{3}}} \cdot \frac{1}{9 \cdot 9 ^{\frac{1}{3}}} = \frac{1}{3 ^{\frac{1}{3}} \cdot 9 ^{\frac{1}{3}} \cdot 27}

= \frac{1}{3 ^{\frac{1}{3}} \cdot 9 ^{\frac{1}{3}} \cdot 27}

lo g_{0.2} (625)

(- 10 i)^{2}

- 3 \cdot (- 5)

\frac{3}{5} \times \frac{1}{2}

\frac{2 x ^{2} - 3 x - 2}{x - 2}

What is 3^{-4/3}*9^{-4/3} ?
The solution to 3^{-4/3}*9^{-4/3} is 1/(3^{1/3)*9^{1/3}*27}