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10 cards from this deck
ap⋅aq=ap+qa^p \cdot a^q = a^{p+q}ap⋅aq=ap+q (add exponents with same base).
ap/aq=ap−qa^p / a^q = a^{p-q}ap/aq=ap−q, subtract exponents with same base.
(ap)q=ap∗q(a^p)^q = a^{p*q}(ap)q=ap∗q (multiply exponents together).
(ab)p=ap⋅bp(ab)^p = a^p \cdot b^p(ab)p=ap⋅bp (distribute the exponent).
(a/b)p=ap/bp(a/b)^p = a^p / b^p(a/b)p=ap/bp (distribute to numerator/denominator).
a0=1a^0 = 1a0=1 for any non-zero aaa.
a−p=1/apa^{-p} = 1/a^pa−p=1/ap (reciprocal of the base).
a1/q=aqa^{1/q} = \sqrt[q]{a}a1/q=qa, ap/q=(aq)pa^{p/q} = (\sqrt[q]{a})^pap/q=(qa)p.
They simplify expressions and aid in calculations.
Convert roots into fractional exponents for simplification.
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