Question

Przedstaw w postaci potegi: a) 3 razy 2 do4 +2 do 5 +2 do 6+7*2 do 4 b)5 do 8+3 razy25 do 3-5 do 7 +2 razy 5 do 6

Answer 1

a)

3 razy 2^4 +2^5 +2^6 + 7*2^4 = 2^4 * (3 + 2^1 + 2^2 + 7) = 2^4 * (3 + 2 + 4 + 7) = 2^4 * 16 =

 

2^4 * 2^4 = 2^8

 

 

b)

5^8 + 3 razy 25^3 - 5^7 + 2 razy 5^6= 5^8 + 3 * (5^2)^3 - 5^7 + 2 * 5^6= 

 

5^8 + 3 * 5^6 - 5^7 + 2 * 5^6=  5^6 * (5^2 + 3 - 5^1 + 2) = 5^6 * (25 + 3 - 5 + 2) = 5^6 * 25

 

5^6 * 5^2 = 5^8