How do you find the equivalent exponential expression ${(9^{4})}^{3}$ $(9^4)^3$ ?

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Answer 1 · 2018-03-17T18:13:04

$9^{12}$ $9^12$

Rules of exponents says
${(a^{m})}^{n} = a^{m n}$ $(a^m)^n=a^(mn)$

Where
$a = 9$ $a=9$
$m = 4$ $m=4$
$n = 3$ $n=3$

So
${(9^{4})}^{3} = 9^{4 \cdot 3}$ $(9^4)^3=9^(4*3)$

${(9^{4})}^{3} = 9^{12}$ $(9^4)^3=9^12$

How do you find the equivalent exponential expression (94)3(9^4)^3?