simplify (3/5)^{-2}

Solution

simplify

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

\frac{25}{9}

Solution steps

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

Apply exponent rule:

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

(\frac{3}{5})^{- 2} = \frac{1}{( \frac{3}{5} ) ^{2}}

= \frac{1}{( \frac{3}{5} ) ^{2}}

(\frac{3}{5})^{2} = \frac{9}{25}

= \frac{1}{\frac{9}{25}}

Apply the fraction rule:

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

= \frac{25}{9}

- \frac{31 π}{12} \cdot \frac{180}{π}

x^{2} + 4 < 0

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

(x + 3) (x - 3) = 55

(\frac{5}{13})^{2} - (\frac{12}{13})^{2}