Question

[5×5^2+15^20÷(5^20×3^18)]÷2

Answer 1

 

$\left[5\times5^2+15^{20}:\Big(5^{20}\times3^{18}\Big)\right]:2=\\\\=\left[5\times5^2+\Big(3\times5\Big)^{20}:\Big(5^{20}\times3^{18}\Big)\right]:2=\\\\=\left[5\times5^2+\Big(5^{20}\times3^{20}\Big):\Big(5^{20}\times3^{18}\Big)\right]:2=\\\\=\left[5\times5^2+\Big(5^{20-20}\times3^{20-18}\Big)\right]:2=\\\\=\Big[5\times5^2+5^{0}\times3^{2}\Big]:2=\\\\=\Big[5^{2+1}+5^{0}\times3^{2}\Big]:2=\\\\=\Big[5^3+1\times3^{2}\Big]:2=\\\\=\Big[125+9\Big]:2=134:2=\underline{67}$

Answer 2

Răspuns:

[5×5²+15²⁰:(5²⁰×3¹⁸)]:2=

=[5³+(5×3)²⁰:(5²⁰×3¹⁸)]:2=

=(5³+5²⁰×3²⁰:5²⁰×3¹⁸):2=

=(5³+5²⁰:5²⁰×3²⁰:3¹⁸):2=

=(5³+5⁰×3²):2=

=(125+5⁰×9):2=

=(125+1×9):2=

=(125+9):2=

=134:2=67