Wiskunde.net

10.
x³ ⋅ x⁴ = x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x = x⁷

11.
a. (-4)³ ⋅ a⁶ = -64a⁶
b. 2³a¹⁵ - 3a¹⁵ = 8a¹⁵ - 3a¹⁵ = 5a¹⁵
c. 6a²b ⋅ -2a³b³ = -12a⁵b⁴
d. 6x³ - 16x
e. a⁸ - 8a⁴ + 16
f. -2a⁴

12.
a. x⁶ - 2x³ + 3x³ - 6 = x⁶ + x³ - 6
b. 6a³ - 2a⁵ - 15 + 5a²
c. -3x⁶y³ + yx⁶ = -3x⁶y³ + x⁶y
d. 64a¹⁵ - 9a⁸⋅-6a⁷ = 64a¹⁵ + 54a¹⁵ = 118a¹⁵
e. -5p²⁴ + 6p¹⁵⋅(-p⁹) = -5p²⁴ - 6p²⁴ = -11p²⁴
f. -3p³q

13.
a. x³
b. p²⁰ / p⁴ = p¹⁶
c. a²⁰ / a²⁰ = 1
d. 2p¹⁰ / -p² = -2p⁸
e. 6x⁸ / x = 6x⁷
f. 4e⁶ / e⁵ = 4e

14.
a. 8a⁸ / a⁶ = 8a²
b. -8p³q⁶ / p²q² = -8pq⁴
c. 12x⁶ - 3x⁵/x⁴ = 12x⁶ - 3x
d. -2p⁹q⁶ : p⁴q⁴ = -2p⁵q²
e. x⁸y⁴ + 4x⁸y⁴ = 5x⁸y⁴
f. 3a³ ⋅ 7a¹⁰ = 21a¹³
g. 25a⁶ - 6a⁶ = 19a⁶
h. x⁶ + 4x³ + 4

15.
a. a^(2p-7)+(8-p) = a^p+1
b. a^4x-12 / a^3x-12 = a^{(4x-12)-(3x-12)} = a^4x-12-3x+12 = a^x
c. a^(n+1)-(n-1) = a^n+1-n+1 = a²
d. 16a^4t-6 / 16a^4t-12 = a^{(4t-6)-(4t-12)} = a^4t-6-4t+12 = a⁶
e. aⁿ² ⋅ a^(1-n2) = a^n2+1-n2 = a¹ = a
f. a^2t-t2 : a^t-t2 = a^{(2t-t2)-(t-t2)} = a^2t-t2-t+t2 = a^t