The exponent of $c$ after simplifying $(3 a b)^{2} (- 5 a^{2} b c^{4})^{2}$ is
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Solution

$(3 a b)^{2} (- 5 a^{2} b c^{4})^{2}$
$(9 a^{2} b^{2}) \times (25 a^{4} b^{2} c^{8})$
$= 225 a^{6} b^{4} c^{8}$
Exponent of $c$ = 8

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