How do you simplify ${(q^{10})}^{3}$ $(q^10)^3$ ?

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Answer 1 · 2016-05-17T11:39:21

$= q^{30}$ $=color(blue)(q^30$

${(q^{10})}^{3}$ $(q^10)^3$

${(a^{m})}^{n} = a^{m n}$ $(color(blue)(a^m))^n = a^(mn)$

${(q^{10})}^{3} = q^{10 \cdot 3} = q^{30}$ $(q^10)^3 = q^ (10 * 3) = q^30$

$= q^{30}$ $=color(blue)(q^30$

How do you simplify (q10)3(q^10)^3?