What is ((3/2)^{-2})/((2/3)^{-3)} ?

The solution to ((3/2)^{-2})/((2/3)^{-3)} is 32/243

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simplify ((3/2)^{-2})/((2/3)^{-3)}

simplify

\frac{( \frac{3}{2} ) ^{- 2}}{( \frac{2}{3} ) ^{- 3}}

\frac{32}{243}

Decimal Notation

0.13168 \dots

Solution steps

\frac{( \frac{3}{2} ) ^{- 2}}{( \frac{2}{3} ) ^{- 3}}

(\frac{3}{2})^{- 2} = \frac{4}{9}

= \frac{\frac{4}{9}}{( \frac{2}{3} ) ^{- 3}}

(\frac{2}{3})^{- 3} = \frac{27}{8}

= \frac{\frac{4}{9}}{\frac{27}{8}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{4 \cdot 8}{9 \cdot 27}

Multiply the numbers:

4 \cdot 8 = 32

= \frac{32}{9 \cdot 27}

Multiply the numbers:

9 \cdot 27 = 243

= \frac{32}{243}

4 x^{2} + 4 x - 1 = 0

9 x^{2} + 6 x + 3

e^{0.06}

x^{2} + 5 x + 14 = 0

6 x^{3} (2 - y) - 8 x^{2} (2 - y) + 4 x (y - 2)

What is ((3/2)^{-2})/((2/3)^{-3)} ?
The solution to ((3/2)^{-2})/((2/3)^{-3)} is 32/243