Answer
$\left(1^3\right)^7=1^{21}$
$1^{21}=1$
Work Step by Step
$\left(a^m\right)^n = a^{mn}$
Thus,
$\left(1^3\right)^7
\\= 1^{3\cdot 7}
\\=1^{21}
\\=1$
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