Объяснение:
№1
а)
15х² * 7/6х³ = (15х² * 7)/6х³ = 105х²/6х³ = 35/2х
б)
-6am² * 4a/3m³ = (-6am² * 4a)/3m³ = (-24a²m²)/3m³ = (-8a²)/3m = -8a²/3m
№2
a) (3a²b³/s⁴)² = 9a⁴b⁶/s⁸
б) (9а³/2b²)² = 81a⁶/4b⁴
№3
a)
c/5d² * 25d/c⁴ = 1/d * 5/c³ = 5/c³d
18m³/11n³ * 22n⁴/9m² = m/1 * 2n/1 = 2mn/1 = 2mn
в)
(2х - 1)/(х² - 7х) * (х - 7)/(2х - 1) =
1/х(х - 7) * (х - 7)/1 = 1/х * 1/1 = 1/х
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Answers & Comments
Объяснение:
№1
а)
15х² * 7/6х³ = (15х² * 7)/6х³ = 105х²/6х³ = 35/2х
б)
-6am² * 4a/3m³ = (-6am² * 4a)/3m³ = (-24a²m²)/3m³ = (-8a²)/3m = -8a²/3m
№2
a) (3a²b³/s⁴)² = 9a⁴b⁶/s⁸
б) (9а³/2b²)² = 81a⁶/4b⁴
№3
a)
c/5d² * 25d/c⁴ = 1/d * 5/c³ = 5/c³d
б)
18m³/11n³ * 22n⁴/9m² = m/1 * 2n/1 = 2mn/1 = 2mn
в)
(2х - 1)/(х² - 7х) * (х - 7)/(2х - 1) =
1/х(х - 7) * (х - 7)/1 = 1/х * 1/1 = 1/х