Question

2la puterea 100÷[2la puterea50×2la puterea48+(2la puterea10×2la puterea15)la puterea5÷2la puterea17+(5 la puterea76÷5la puterea75-3)la puterea90×2la puterea8+2la puterea982

Answer 1

2^100:[2^50×2^48+(2^10×2^15)^5 : 2^17+(5^76 : 5^75 -3)^90×2^8+2^98] =

= 2^100:[2^98+(2^25)^5:2^17+(5-3)^90×2^8+2^98]=

= 2^100:[2^98+2^125:2^17+2^90×2^8+2^98]

= 2^100:[2^98+2^108+2^98+2^98) =

= 2^100:2^98(1 + 2^10 + 1 + 1) =

= 2^2 × (3+2^10) =

= 4 × 3 + 4 ×2^10 =

= 12 + 2^2×2^10 =

= 12 + 2^12