Объяснение:
1)
4рс²/15 * 9са³/2 = 2рс²/5 * 3са³/1 =
(2рс² * 3са³)/(5 * 1) = 6а³с³р/5
2)
-4/5m⁴np * (-1/4m²n³p²) =
(-4/5 * (-1/4)) * (m⁴ * m²) * (n * n³) * (p * p²) =
4/20 * m⁶ * n⁴ * p³ = 1/5m⁶n⁴p³
3)
-4 3/4mn² * (-17/38amn) =
(-4 3/4 * (-17/38)) * (m * m) * (n² * n) * a =
(-19/4 * (-17/38)) * m² * n³ * a =
(-1/4 * (-17/2)) * m² * n³ * a =
17/8 * a * m² * n³ = 2 1/8am²n³
4)
6 1/2x³yz² * 2 2/13x⁶yz³ =
(6 1/2 * 2 2/13) * (x³ * x⁶) * (y * y) * (z² * z³) =
(13/2 * 28/13) * x⁹ * y² * z⁵ =
(1/1 * 14/1) * x⁹ * y² * z⁵ = 14x⁹y²z⁵
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Verified answer
Объяснение:
1)
4рс²/15 * 9са³/2 = 2рс²/5 * 3са³/1 =
(2рс² * 3са³)/(5 * 1) = 6а³с³р/5
2)
-4/5m⁴np * (-1/4m²n³p²) =
(-4/5 * (-1/4)) * (m⁴ * m²) * (n * n³) * (p * p²) =
4/20 * m⁶ * n⁴ * p³ = 1/5m⁶n⁴p³
3)
-4 3/4mn² * (-17/38amn) =
(-4 3/4 * (-17/38)) * (m * m) * (n² * n) * a =
(-19/4 * (-17/38)) * m² * n³ * a =
(-1/4 * (-17/2)) * m² * n³ * a =
17/8 * a * m² * n³ = 2 1/8am²n³
4)
6 1/2x³yz² * 2 2/13x⁶yz³ =
(6 1/2 * 2 2/13) * (x³ * x⁶) * (y * y) * (z² * z³) =
(13/2 * 28/13) * x⁹ * y² * z⁵ =
(1/1 * 14/1) * x⁹ * y² * z⁵ = 14x⁹y²z⁵