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}

1 2^{2} + 1 6^{2}

3 x^{2} + 17 = 6

∣ x - 2 ∣ = ∣ 3 - 2 x ∣

9 a^{2} - 18 a

3 x - 8 = 13