Question

Ajutor! 1. a) [(2^4)^5×(5^3)^4]:10^12 b)25^3:(2×5^7-8×5^6-9×5^5) c) [2^48:2^18+(3^4)^5+6^23:6^13]:(2^10×3^10+2^17×2^13+3^20)

Answer 1

a) [(2^4)^5×(5^3)^4]:10^12=
 [(2⁴)⁵×(5³)⁴]:10¹²=
(2²⁰×5¹²):10¹²=
(2²⁰×5¹²):(5x2)¹²=
(2²⁰×5¹²):(5¹²x2¹²)=
2²⁰:2¹²=
2⁸=256
 b)25^3:(2×5^7-8×5^6-9×5^5)=
25³:(2×5⁷-8×5⁶-9×5⁵)=
25³:5⁵(2×5²-8×5-9)=
5⁶:5⁵(2×25-40-9)=
5(50-40-9)=
5x1=5

c) [2⁴⁸:2¹⁸+(3⁴)⁵+6²³:6¹³]:(2¹⁰×3¹⁰+2¹⁷×2¹³+3²⁰)=
(2³⁰+3²⁰+6¹⁰):(2¹⁰×3¹⁰+2³⁰+3²⁰)=
(2³⁰+3²⁰+6¹⁰):(6¹⁰+2³⁰+3²⁰)=
(2³⁰+3²⁰+6¹⁰):(2³⁰+3²⁰+6¹⁰)=1