[tex]{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}[/tex]
Simplifying vinculum bar
[tex]{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}[/tex]
[tex]{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}[/tex]
Simplifying parentheses brackets
[tex]{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}[/tex]
[tex]{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}[/tex]
Simplifying curly brackets
[tex]{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}[/tex]
[tex]{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \dfrac{16}{4} \bigg\} \bigg]}}}}[/tex]
[tex]{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \cancel{\dfrac{16}{4}} \bigg\} \bigg]}}}}[/tex]
[tex]{:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}[/tex]
Simplifying square brackets
[tex]{:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}[/tex]
[tex]{:\implies{\small{\sf{18 \div 16 + 32}}}}[/tex]
According to BODMAS rule simplifying devision
[tex]{:\implies{\small{\sf{18 \div 16 + 32}}}}[/tex]
[tex]{:\implies{\small{\sf{ \dfrac{18}{16} + 32}}}}[/tex]
[tex]{:\implies{\small{\sf{{\cancel{\dfrac{18}{16}} + 32}}}}}[/tex]
[tex]{:\implies{\small{\sf{ 1.125 + 32}}}}[/tex]
Now, according to BODMAS rule simplifying addition
[tex]{:\implies{\small{\sf{ 1.125 + 32}}}}[/tex]
[tex]{:\implies{\small{\sf{33.125}}}}[/tex]
[tex]{:\implies{\underline{\boxed{\pmb{\sf{Answer = 33.125}}}}}}[/tex]
∴ The answer is 33.125.
[tex]\underline{\rule{200pt}{2.5pt}}[/tex]
