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Answer 1

$a)(-0.1a^2bc^5)^2*100bc^4 = 0.01a^4b^2c^{10} * 100bc^4 = 1a^4b^3c^{14}\\b) -1 \frac{3}{5}m^4n^3( -\frac{1}{2}m^3p^6)^3 = -1.6m^4n^3-0.125m^9p^{18}=\\=0.2m^{13}n^3p^{18}\\v) 2 \frac{1}{4}a^5b(\frac{2}{3}ab^3)^3 = 2.25a^5b*\frac{8}{27} a^3b^9=2.25a^8b^{10} * 8/27\\4) -(-5a^3b^7)^3*(-\frac{1}{5}a^2c^6)^2 = -15a^9b^{21}*0.04a^4c^{12}=-0.6a^{13}b^{21}c^{12}$