8÷4[6-2(-8+3*2^3)] I cannot get this problem solved and simplified.

Question

I am not able to get an answer for this problem. 8÷4[6-2(-8+3*2^3)] can you help?

Answer 1

I believe the solution provided by the above user is correct upto the 4th to the last line. 

Use PEMDAS=> parentheses, exponential, multiplication, division, addition, subtraction (left to right)

After you have gotten the stuff within the brackets simplified upto [6-32] = [-26], the expression becomes,

8÷4[-26]   (since we still have the bracket, we have to deal with it first)

= 8 ÷ (-104)   (a÷b is same as a/b, eg. 4÷2 = 4/2 = 2) 

= -1/13   (minus sign from -104 carries)

 

Answer 2

 To simplify, we'll be using PEMDAS (order of operations) 

P - Parentheses first
E - Exponents (ie Powers and Square Roots, etc.)
MD - Multiplication and Division (left-to-right)
AS - Addition and Subtraction (left-to-right)

8÷4[6-2(-8+3*2^3)] Inner Parentheses first

= 8÷4[6-2 (-8+3*8) ]  Exponent within parentheses 

= 8÷4[6-2 (-8+24) ]    Mult within parentheses

= 8÷4[6-2 (16) ]   add/subt within parentheses

= 8÷4 [6-2 (16)]   Now the bracket 

= 8÷4 [6-32]    Mult within bracket

= 8÷4 [26]   subt within bracket

= 8÷4 [-26]  since were left with mult and division, we'll go from left to right

= 2 (-26)  mult

= -52