How do you simplify #3(8-2)² + 10 ÷ 5 - 6 * 5# using order of operations?

1 Answer
Mar 21, 2018

Answer:

80

Explanation:

When using PEMDAS, parentheses help a ton. Remember:

Parentheses
Exponents
Multiplication/Division (Interchangeable)
Addition/Subtraction (Interchangeable)

Let's separate the term into something easier on the eyes:

#3(8-2)^2 + (10/5)-(6*5)#

Now we have the exact same expression, but it becomes clear what we have to do first. Let's follow PEMDAS:

#3(6)^2+(10/5)-(6*5):# #color(red)(8 - 2 = 6)#
#3(36)+(10/5)-(6*5):# #color(red)(6^2 = 36)#
#108+(10/5)-(6*5):# #color(red)(3 * 36 = 108)#
#108+(2)-(6*5):# #color(red)(10 -: 5 = 2)#
#108+(2)-(30):# #color(red)(6 * 5 =30)#
#110-30:# #color(red)(108 + 2 = 110)#
#80:# #color(red)(110 - 30 = 80)#