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10 cards from this deck
Shorthand for repeated multiplication
a0=1a^0 = 1a0=1 for any non-zero aaa
a−n=1ana^{-n} = \frac{1}{a^n}a−n=an1
am×an=am+na^m \times a^n = a^{m+n}am×an=am+n (add exponents)
aman=am−n\frac{a^m}{a^n} = a^{m-n}anam=am−n (subtract exponents)
(am)n=amn(a^m)^n = a^{mn}(am)n=amn (multiply exponents)
(ab)n=an×bn(ab)^n = a^n \times b^n(ab)n=an×bn
(ab)n=anbn\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}(ba)n=bnan
When fractions have different bases
Don't add exponents: 23×32≠652^3 \times 3^2 \neq 6^523×32=65
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