1. Выполните умножение:
а) 7m \(\cdot\) 2n = 7 \(\cdot\) 2 \(\cdot\) m \(\cdot\) n = 14mn
б) -15a \(\cdot\) 7a³ = -15 \(\cdot\) 7 \(\cdot\) a \(\cdot\) a³ = -105a⁴
в) \(\frac{3}{25}\)ab⁶ \(\cdot\) \(\frac{5}{9}\)a²b⁴ = \(\frac{3 \cdot 5}{25 \cdot 9}\) \(\cdot\) a \(\cdot\) a² \(\cdot\) b⁶ \(\cdot\) b⁴ = \(\frac{1}{5 \cdot 3}\)a³b¹⁰ = \(\frac{1}{15}\)a³b¹⁰
г) (-0,3x⁶y²)² \(\cdot\) \(\frac{2}{3}\)xy⁵ = (-0,3)² \(\cdot\) (x⁶)² \(\cdot\) (y²)² \(\cdot\) \(\frac{2}{3}\) \(\cdot\) x \(\cdot\) y⁵ = 0,09x¹²y⁴ \(\cdot\) \(\frac{2}{3}\)xy⁵ = 0,09 \(\cdot\) \(\frac{2}{3}\) \(\cdot\) x¹² \(\cdot\) x \(\cdot\) y⁴ \(\cdot\) y⁵ = \(\frac{0,18}{3}\)x¹³y⁹ = 0,06x¹³y⁹
Ответ: а) 14mn; б) -105a⁴; в) \(\frac{1}{15}\)a³b¹⁰; г) 0,06x¹³y⁹
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