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 $a^{2}$ $b^{2}$ ) × (25 $a^{4}$ $b^{2}$ $c^{8}$ )
= 225 $a^{6}$ $b^{4}$ $c^{8}$
Exponent of c = 8

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