# How do you simplify (4^6)^2 ?

Jun 8, 2016

${\left({4}^{6}\right)}^{2} = {4}^{12} = 16777216$
WE use two simple formulas here - one ${a}^{n} = a \times a \times a \times \ldots . \times a$, where $a$ is multiplied $n$ times ant two ${\left({a}^{m}\right)}^{n} = {a}^{m n}$
Hence, ${\left({4}^{6}\right)}^{2} = {4}^{6 \times 2} = {4}^{12}$
= $4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 16777216$
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