simplify (9/4)^{-3}

Solution

simplify

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

\frac{64}{729}

Solution steps

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

Apply exponent rule:

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

(\frac{9}{4})^{- 3} = \frac{1}{( \frac{9}{4} ) ^{3}}

= \frac{1}{( \frac{9}{4} ) ^{3}}

(\frac{9}{4})^{3} = \frac{729}{64}

= \frac{1}{\frac{729}{64}}

Apply the fraction rule:

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

= \frac{64}{729}

\frac{3 x ^{2} + 19 x + 20}{6 x ^{2} + 17 x + 12}

- 3 x^{2} + 36 x - 81

\frac{3 5 ^{- 4.7} \times 7 ^{5.7}}{5 ^{- 3.7}}

4 r^{4} + r^{2}

lo g_{10} (4) (32)