Question

a) [5×5^2+15^20÷(5^20×3^18)]÷2
b) 7^7×2^7
c) 5^3^2÷(5^2)^4
Dau 15 puncte va rog.....Rapid​

Answer 1

Explicație pas cu pas:

a)

[5×5^2+15^20÷(5^20×3^18)]÷2 =

[5^3 + (5•3)^20 : (5^20•3^18)]:2 =

[125 + (5^20 • 3^20) : (5^20 • 3^18)]:2=

[125 + 3^(20-18)] : 2 =

(125 + 3^2) : 2 =

(125 + 9) : 2 =

134 : 2 =

67

______

b) 7^7 • 2^7 = (7 • 2)^7 = 14^7

________________________________

c)

5^3^2 : (5^2)^4 =

5^9 : 5^8 =

5^(9-8) =

5^1 = 5

________

5^3^2 = 5^(3^2) = 5^9

(5^2)^4 = 5^(2•4) = 5^8