What is ((2/5)^{-3})/((3/7)^{-3)} ?

The solution to ((2/5)^{-3})/((3/7)^{-3)} is 3375/2744

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simplify ((2/5)^{-3})/((3/7)^{-3)}

simplify

\frac{( \frac{2}{5} ) ^{- 3}}{( \frac{3}{7} ) ^{- 3}}

\frac{3375}{2744}

Decimal Notation

1.22995 \dots

Solution steps

\frac{( \frac{2}{5} ) ^{- 3}}{( \frac{3}{7} ) ^{- 3}}

(\frac{2}{5})^{- 3} = \frac{125}{8}

= \frac{\frac{125}{8}}{( \frac{3}{7} ) ^{- 3}}

(\frac{3}{7})^{- 3} = \frac{343}{27}

= \frac{\frac{125}{8}}{\frac{343}{27}}

Apply the fraction rule:

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

= \frac{125 \cdot 27}{8 \cdot 343}

Multiply the numbers:

125 \cdot 27 = 3375

= \frac{3375}{8 \cdot 343}

Multiply the numbers:

8 \cdot 343 = 2744

= \frac{3375}{2744}

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

(3 x + 4 y)^{2}

3 \cdot (- 4)

- 7^{3}

(2 w - 9) + (- 4 w - 5)

What is ((2/5)^{-3})/((3/7)^{-3)} ?
The solution to ((2/5)^{-3})/((3/7)^{-3)} is 3375/2744