simplify (3/x)^{-2}

Solution

simplify

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

\frac{x ^{2}}{9}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{3}{x})^{2} : \frac{9}{x ^{2}}

= \frac{1}{\frac{9}{x ^{2}}}

Apply the fraction rule:

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

= \frac{x ^{2}}{9}

5 (x - 6)

y^{\frac{2}{3}} y^{\frac{4}{3}}

(x^{a + 1} - 8) (x^{a + 1} + 9)

6 x^{2} - 3 + 8 x^{2} - 5 x - 1

(x) (x)