Question

Działania na potęgach proszę o pomoc .DAJE NAJ

Answer 1

Odpowiedź:

1.

a)

(2x²y³) * (-7x^5y³) = -14x^7y^6

b)

(6x^5y²z³) : (2x²y²z) = 3x³z²

2.

3^5 * (-1/6)^5 : (-1/2)^4 + (3 1/2 - 2²)² = (-3 * 1/6)^5 : 1/16 + (3 1/2 - 4)² =

= (-1/2)^5 * 16 + (-1/2)² = -1/32 * 16 + 1/4 = -1/2 + 1/4 = -2/4 + 1/4 = -1/4

3.

(3,4 * 10^17) * (4 * 10^5) = 13,6 * 10^22 = 1,36 * 10^23

4.

(5³ * 5^8 * 4 - 5^5 * 5^6)/[6 * (5^22 : 5^11)] = (5^11 * 4 - 5^11)/(6 * 5^11) =

= 5^11(4 - 1)/(6 * 5^11) = 3/6 = 1/2

5.

(2^12 * 30^13 * 10^7)/(5 * 6^12 * 25^9 * 8^6) =

= (2^12 * 3^13 * 10^13 * 10^7)/(5 * 2^12 * 3^12 * 25^9 * 8^6) =

= (3 * 10^20)/(5 * 5^9 * 5 ^9 * 8^6) = 3 * 10^20/(5^10 * 5^9 * 8^6) =

= 3 * 10^20/(5^19 * 8^6) = 3 * 2^20 * 5^20/[5^19 * (2³)^6] = 3 * 2^20 * 5/2^18 =

= 3 * 2² * 5 = 3 * 4 * 5 = 3 * 20 = 60

Szczegółowe wyjaśnienie: