What is ((Y^3)/(Y^2))^{-1} ?

The solution to ((Y^3)/(Y^2))^{-1} is 1/Y

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simplify ((Y^3)/(Y^2))^{-1}

simplify

(\frac{Y ^{3}}{Y ^{2}})^{- 1}

\frac{1}{Y}

Solution steps

(\frac{Y ^{3}}{Y ^{2}})^{- 1}

Apply exponent rule:

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

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

= \frac{1}{\frac{Y ^{3}}{Y ^{2}}}

Apply the fraction rule:

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

= \frac{Y ^{2}}{Y ^{3}}

Apply exponent rule:

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

\frac{Y ^{2}}{Y ^{3}} = \frac{1}{Y ^{3 - 2}}

= \frac{1}{Y ^{3 - 2}}

Subtract the numbers:

3 - 2 = 1

= \frac{1}{Y}

8 x^{2} + 32 x + 34 = 0

6 (- 2)^{2} + 6 (- 2) - 12

\frac{2 x - 5}{3} - \frac{5 x - 3}{4} + 2 + \frac{2}{3} = 0

x^{2} - 7 x y + 6 y^{2}

6 (\frac{1}{3})^{1}