Odpowiedź:
14.
81^11 : 21^14 = (3^4)^11 : (3³)^14 = 3^44 : 3^42 = 3² = 9 razy
15.
a)
2^5 * 4³ * 8/(16 * 2^8) = 2^5 * (2²)³ * 2³/(2^4 * 2^8) = 2^8 * 2^6/2^12 = 2^14/2^12 = 2²
b)
3^8 : 27 * 9^4/(3² * 81) = 3^8 : 3³ * (3²)^4/(3^8 * 3^4) = 3^5 * 3^8/3^12 = 3^13/3^12 = 3
c)
(0,01)² * (0,1)^4 : 0,001 = (0,1²)² * 0,1^4 : 0,1³ = 0,1^4 * 0,1^4 : 0,1³ = 0,1^8 : 0,1³ =
= 0,1^5
d)
(3/2)^4 * (9/4)³ : 27/8 = (3/2)^4 * [(3/2)²]³ : (3/2)³ = (3/2)^4 * (3/2)^6 : (3/2)³ =
= (3/2)^10 : (3/2)³ = (3/2)^7
16.
a)
4^6 * 22³/(11² * 2^13) = (2²)^6 * (2 * 11)³/(11² * 2^13) = 2^12 * 2³ * 11/2^13 =
= 2^15 * 11/2^13 = 2² * 11 = 4 * 11 = 44
b)
3^9 * 15/(45 * 81²) = 3^9/[3 * (3^4)²] = 3^9/(3 * 3^8) = 3^9 : 3^9 = 1
c)
12^4 * 2^4/(64² : 16) : 36 = (3 * 4)^4 * 2^4/[(2^6)² : 2^4] : 6² =
= 3^4 * (2²)^4 * 2^4/(2^12 : 2^4) : (2² * 3²) = 3^4 * 2^8 * 2^4/2^8 : (2² * 3²) =
= 3^4 * 2^12/2^8 : 2² * 3²) = 3² * 2^4 : 2² = 3² * 2² = 9 * 4 = 36
d)
nie widac calosci
Szczegółowe wyjaśnienie:
