Question

5. Подайте вираз у вигляді степеня:
1)(m³)⁴ • m²=...
2)(x⁴)⁵ : (x²)⁷=...​

Answer 1

Ответ:

1)

$( {m}^{3} ) ^{4} \times {m}^{2} = {m}^{3 \times 4 + 2} = {m}^{14}$

2)

$( {x}^{4} ) ^{5} \div ( {x}^{2} ) ^{7} = {x}^{4 \times 5 - 2 \times 7} = {x}^{20 - 14} = {x}^{6}$

Answer 2

$\displaystyle\bf\\1)\\\\\Big(m^{3} \Big)^{4} \cdot m^{2}=m^{3\cdot 4} \cdot m^{2} =m^{12} \cdot m^{2} =m^{12+2} =m^{14} \\\\\\2)\\\\\Big(x^{4} \Big)^{5} :\Big(x^{2} \Big)^{7} =x^{4\cdot 5} :x^{2\cdot 7} =x^{20} :x^{14} =x^{20-14} =x^{6}$