Question

Упростите уравнение

Answer 1

$\displaystyle\bf\\1)\\\\0,75a^{9} b^{3} c^{2} \cdot1\frac{1}{3} a^{4} b^{2} c^{7} =\underbrace{\frac{3}{4} \cdot\frac{4}{3}}_{1} \cdot a^{9+4}\cdot b^{3+2}\cdot c^{2+7} =a^{13} b^{5} c^{9} \\\\\\2)\\\\\Big(-a^{3} b^{6} \Big)^{5} \cdot 5a^{2} b^{4} =-a^{15} b^{30} \cdot 5a^{2} b^{4}= -5a^{15+2} b^{30+4} =-5a^{17} b^{34} \\\\\\3)$

$\displaystyle\bf\\\Big(-0,6a^{2} b^{4}\Big)^{3} \cdot\Big(-1\frac{2}{3} a^{2} b^{2} \Big)^{3} =\Bigg[\underbrace{-\frac{3}{5} \cdot\Big(-\frac{5}{3} \Big)}_{1}\cdot a^{2+2} b^{4+2} \Bigg]^{3} =\\\\\\=\Big(a^{4}\cdot b^{6} \Big)^{3}=a^{12} b^{18}$

Answer 2

1)a¹³b⁵c⁹

2)-5a¹⁷b³⁴

3)a¹²b¹⁸

надеюсь помог