Use the order of operations to simplify the given expression:
[tex]-8+32(\frac{1}{4}\cdot16)-32[/tex]First, solve for the expression inside the parenthesis:
[tex]\frac{1}{4}\cdot16=4[/tex]Then:
[tex]-8+32(\frac{1}{4}\cdot16)-32=-8+32(4)-32[/tex]Next, solve powers and radicals. Since there are no powers or radicals, then solve for multiplications and divisions:
[tex]32(4)=128[/tex]Then:
[tex]-8+32(4)-32=-8+128-32[/tex]Finally, solve for additions and subtractions from left to right:
[tex]-8+128-32=120-32=88[/tex]Therefore, the result is:
[tex]-8+32(\frac{1}{4}\cdot16)-32=88[/tex]