Question

calculati folosind proprietatea a^m : a^n=a^m-n:
a)8^15:8¹²
b)13³¹:13³°+13
c)7^29:7^26
d)7^17:7¹³-7³+13°
e)(11+4)²²:15²°-15°
f)(42:14)²•9^18:27^6

Answer 1

a) 8^15:8¹² = 8^15-12 = 18^3 = 5832

b) 13³¹:13³°+13 = 13^31-30 + 13 = 13+13 = 26

c) 7^29:7^26 = 7^29-26 = 7^3 = 343

d) 7^17:7¹³-7³+13° = 7^17-13-7^3 + 1 = 7^4 + 7^3+1 = 7^3(7+1)+1 = 7^3×8+1 = 343×8+1 = 2745

e) (11+4)²²:15²°-15° =
= 15^22:15^20-1 =
= 15^22-20-1 =
= 15^2-1 =
= 225-1 = 224

f) (42:14)²•9^18:27^6 =
= 3^2×3^36 : 3^18 =
= 3^2 × 3^36-18 =
= 3^2×3^18 =
= 3^2+18 =
= 3^20