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

The solution to (2/5)^{-3}*(3/7)^{-3} is 42875/216

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{42875}{216}

Decimal Notation

198.49537 \dots

Solution steps

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

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

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

Apply exponent rule:

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

(\frac{3}{7})^{- 3} = \frac{1}{( \frac{3}{7} ) ^{3}}

= \frac{125}{8} \cdot \frac{1}{( \frac{3}{7} ) ^{3}}

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

= \frac{125}{8} \cdot \frac{1}{\frac{27}{343}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

\frac{125}{8} \cdot \frac{343}{27} = \frac{42875}{216}

= \frac{42875}{216}

(\frac{2}{3})^{5} \cdot (\frac{2}{3})^{3}

(x - 1) (x + 1)

(m - 3) (m + 3)

\frac{4}{2}

(x + 4) (x - 4)

What is (2/5)^{-3}*(3/7)^{-3} ?
The solution to (2/5)^{-3}*(3/7)^{-3} is 42875/216