Zero and negative exponents

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Learn it A negative exponent means "one over": $a^{-n} = \frac{1}{a^n}$. A fraction to a negative power flips: $\left(\frac{a}{b}\right)^{-n} = \left(\frac{b}{a}\right)^n$.

Example: $\left(\frac{2}{3}\right)^{-2}$ and $\frac{x^{-3}y^2}{x^2y^{-4}}$

Flip: $\left(\frac{3}{2}\right)^2 = \frac{9}{4}$.
Subtract exponents: $x^{-3-2} = x^{-5}$, $y^{2-(-4)} = y^6$.
Positive exponents: $\frac{y^6}{x^5}$.

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