simplify (4/7)^{-3}

Solution

simplify

(\frac{4}{7})^{- 3}

\frac{343}{64}

Decimal Notation

5.359375

Solution steps

(\frac{4}{7})^{- 3}

Apply exponent rule:

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

(\frac{4}{7})^{- 3} = \frac{1}{( \frac{4}{7} ) ^{3}}

= \frac{1}{( \frac{4}{7} ) ^{3}}

(\frac{4}{7})^{3} = \frac{64}{343}

= \frac{1}{\frac{64}{343}}

Apply the fraction rule:

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

= \frac{343}{64}

\frac{7 x - 1}{3} + \frac{x + 6}{3}

x^{2} - \frac{1}{4 x ^{2}}

\frac{x ^{2} - 36}{x ^{2} - 12 x + 36}

2 5^{1}