Question

Proszę o pomoc, Daję naj

Answer 1

Odpowiedź:

a)

16 = 2^4

1/64 = 2^6

8³ = (2³)³ = 2^9

(√2)^4 = (2^1/2)^4 = 2²

1024² = 2^10

b)

1/81 = 1/(3^4) = 3^-4

27 = 3³

9^-2 = (3²)^-2 = 3^-4

(√3)^6 = (3^1/2)^6 = 3³

81^-5 = (3^4)^-5 = 3^-20

c)

0,001 = 0,1³ = (1/10)³ = 10^-3

100^5 = (10²)^5 = 10^10

(1/100)^-4 = (1/10²)^-4 = (1/10)^-8 = 10^8

(1/0,1)^-6 = 10^-6

d)

25^-3 = (5²)^-3 = 5^-6

(1/5)^-2 = 5²

(1/125)^4 = (1/5³)^4 = (5³)^-4 = 5^-12

625^-5 = (5^4)^-5 = 5^-20

Szczegółowe wyjaśnienie: