Odpowiedź:
1.
2² * 2^6/8² = 2^8 : (2³)² = 2^8 : 2^6 = 2²
2.
3^8 * 2^8/6^6 = (3 * 2)^8 : 6^6 = 6^8 : 6^6 = 6²
3.
3^13 * 4/(9^5 * 2²) = 3^13 * 2²/[(3²)^5 * 2²] = 3^13 : 3^10 = 3³
4.
[(1/6)^7 : (1/12)^7]/2^4 = (1/6 * 12)^7 : 2^4 = 2^7 : 2^4 = 2³
5.
0,1² * 2² : 0,2 = 0,01 : 0,2 * 2² = 0,05 * 2² = 1/20 * 4 = 1/5
6.
(2^15 : 2^5)³/(2^11 : 2^6)^4 = (2^10)³/(2^5)^4 = 2^15 : 2^20 = 2^-5
7.
2^4 * 5^4/100 = 10^4 : 10² = 10²
8.
(-8)³ * (-5)³/4³ = 40³ : 4³ = 10³
9.
0,25³ * (1/4)^5/(1/4)^6 = (1/4)³ * (1/4)^-1 = (1/4)²
10.
6^16 : 6^10/(2^5 * 3^5) = 6^6 : 6^5 = 6
11.
10^5 * 10³ : (2^8 * 5^8) = 10^8 : 10^8 = 1
12.
(4^4 + 4²)/17 = 4²(4² + 1)/17 = 16 * (16 + 1) : 17 = 16 * 17 : 17 = 16
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Odpowiedź:
1.
2² * 2^6/8² = 2^8 : (2³)² = 2^8 : 2^6 = 2²
2.
3^8 * 2^8/6^6 = (3 * 2)^8 : 6^6 = 6^8 : 6^6 = 6²
3.
3^13 * 4/(9^5 * 2²) = 3^13 * 2²/[(3²)^5 * 2²] = 3^13 : 3^10 = 3³
4.
[(1/6)^7 : (1/12)^7]/2^4 = (1/6 * 12)^7 : 2^4 = 2^7 : 2^4 = 2³
5.
0,1² * 2² : 0,2 = 0,01 : 0,2 * 2² = 0,05 * 2² = 1/20 * 4 = 1/5
6.
(2^15 : 2^5)³/(2^11 : 2^6)^4 = (2^10)³/(2^5)^4 = 2^15 : 2^20 = 2^-5
7.
2^4 * 5^4/100 = 10^4 : 10² = 10²
8.
(-8)³ * (-5)³/4³ = 40³ : 4³ = 10³
9.
0,25³ * (1/4)^5/(1/4)^6 = (1/4)³ * (1/4)^-1 = (1/4)²
10.
6^16 : 6^10/(2^5 * 3^5) = 6^6 : 6^5 = 6
11.
10^5 * 10³ : (2^8 * 5^8) = 10^8 : 10^8 = 1
12.
(4^4 + 4²)/17 = 4²(4² + 1)/17 = 16 * (16 + 1) : 17 = 16 * 17 : 17 = 16
Szczegółowe wyjaśnienie: