Respuesta :

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]