simplify (8/3)^{-2}

Solution

simplify

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

\frac{9}{64}

Decimal Notation

0.140625

Solution steps

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

Apply exponent rule:

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

(\frac{8}{3})^{- 2} = \frac{1}{( \frac{8}{3} ) ^{2}}

= \frac{1}{( \frac{8}{3} ) ^{2}}

(\frac{8}{3})^{2} = \frac{64}{9}

= \frac{1}{\frac{64}{9}}

Apply the fraction rule:

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

= \frac{9}{64}

\frac{\frac{1}{r} + \frac{1}{s}}{\frac{1}{r ^{2}} - \frac{1}{s ^{2}}}

4 = - \frac{5}{4} (- 6) + b

(2 i)^{5} \cdot (i 6)^{2}

410 \cdot 36

- 4 x + 5 = (x - 2)^{2} + 1