Question

Efectuați:
A)9^4×(3^2×3^4)^2:9^8
B)10^4:{559+(7×3)^3:[(4×5^2)^2:500+1]}
REPEDE VA ROG

Answer 1

a) 9^4×(3^2×3^4)^2:9^8=

3^8×(3^6)²÷3^16

3^8×3^12÷3^16

3^4

81

b) 10^4:{559+(7×3)^3:[(4×5^2)^2:500+1]}

10^4÷(559+(7×3)^3÷((4×5²)²/500+1))

10^4÷(559+(7×3)^3÷(16×5^4/500+1))

10^4÷(559+(7×3)^3÷(4×5^4/125+1))

10^4÷(559+(7×3)^3÷(4×5^4/5^3+1))

10^4÷(559+(7×3)^3÷(4×5+1))

10^4÷(559+(7×3)^3÷21)

10^4÷(559+  7^3×27/21)

10^4÷(559+ 7^3×9/7)

10^4÷(559+7²×9)

10^4÷ (559+441)

10^4÷1000

10^4÷10³

10