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Study Guides > College Algebra CoRequisite Course

Summary: Review

Key Equations and formulas
  • Negative Exponent an=1an and an=1an{a}^{-n}=\dfrac{1}{{a}^{n}} \text{ and } {a}^{n}=\dfrac{1}{{a}^{-n}}
  • y=mx+by=mx+b, where m=slopem=\text{slope} and b=y-interceptb=y\text{-intercept}.
  •  abcd=acbd\dfrac{a}{b}\cdot\dfrac{c}{d} = \dfrac {ac}{bd}
  •  ab÷cd=abdc=adbc\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{c}=\dfrac{ad}{bc}
  •  2432=222322222=322=34\dfrac{24}{32}=\dfrac{2\cdot2\cdot2\cdot3}{2\cdot2\cdot2\cdot2\cdot2}=\dfrac{3}{2\cdot2}=\dfrac{3}{4}
  •  ab±cd=ad±bcbd\dfrac{a}{b}\pm\dfrac{c}{d} = \dfrac{ad \pm bc}{bd}

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