Answer:
98 is the answer of the expression
Explanation:
AS it is a simple algebraic expression so these are solved by BDMAS rule which means that we have to solve the brackets first starting from the smaller bracket first which is inside a larger bracket then we will move to Division then multiplication then addition and then subtraction
so the following equation can be written as
=
![2^(3)[(1)/(4)+4(36/12)]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1xsr8dbrc2p2992dhhs9q0j488tdtnxyiw.png)
First of all solving smallest bracket and division inside it
=
![2^(3)[(1)/(4)+4(3)]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/w2oh4h8c1uiyazm87soalkmhpr6b4l5g29.png)
Multplying 4 inside
=
![2^(3)[(1)/(4)+12]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/c06zqbfm0j1iu8j0tpreuxtyqbltu3lug5.png)
Now solving the 2³
=
![8[(1)/(4)+12]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/denz2alvi11y2tkp4c7aq5l6mutnx32mgf.png)
Now solving the expression inside the bracket by taking LCM
=
![8[(1 + 4*12)/(4)]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/99dvyhbfz0qa4nfkg8fs2wjy8ieyxgrahy.png)
=
![8[(1 + 48)/(4)]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gt4k6trdobf46r47fpsaxfab09uhdoqtrq.png)
=
![8[(49)/(4)]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3wx8dwx0gpg75mmvtpkjd5rgan1t4g6jey.png)
Now multiplying 8 with inside values
=
![[(8*49)/(4)]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tnyvdbt00j5ugmh8gmwe3vm49i7czept79.png)
AS 8 cuts out with 4 so
= 2 * 49
= 98
which is the answer of the expression