$$15ab^{5}\times5a^{3}b\div3a^{2}b^{4}=$$
$25a^{6}b^{10}$
$$\frac{15a^{4}b^{5}\times 5b}{3}a^{2}b^{4}$$
$$\frac{15a^{4}b^{6}\times 5}{3}a^{2}b^{4}$$
$$\frac{75a^{4}b^{6}}{3}a^{2}b^{4}$$
$$25a^{4}b^{6}a^{2}b^{4}$$
$$25a^{6}b^{6}b^{4}$$
$$25a^{6}b^{10}$$
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$150a^{5}b^{10}$
