Problem: -5(-6-(-3)/2)+25+(1/2-3/4*5)^2-7.5+3*10-(-3.5+2.7)^3-3^5+1^3
Order of Operations
Before you can perform some of the exponent operations, you need to
perform the operations inside the parentheses, so let's do all of
those.
-5(-6 - (-3)/2) + 25 + (1/2 - 3/4 * 5)^2 - 7.5 + 3 * 10 - (-3.5 + 2.7)^3 - 3^5 + 1^3
-5(-6 - (-1.5)) + 25 + (1/2 - 15/4 )^2 - 7.5 + 3 * 10 - (-0.8)^3 - 3^5 + 1^3
-5(-6 - (-1.5)) + 25 + (1/2 - 15/4 )^2 - 7.5 + 3 * 10 - (-0.8)^3 - 3^5 + 1^3
-5(-4.5) + 25 + (-13/4 )^2 - 7.5 + 3 * 10 - (-0.8)^3 - 3^5 + 1^3
-5(-4.5) + 25 + (-13/4 )^2 - 7.5 + 3 * 10 - (-0.8)^3 - 3^5 + 1^3
-5(-4.5) + 25 + (-3.25 )^2 - 7.5 + 3 * 10 - (-0.8)^3 - 3^5 + 1^3
Now, each exponent applies to a single value. Perform each of those operations.
-5(-4.5) + 25 + (-3.25)^2 - 7.5 + 3 * 10 - (-0.8)^3 - 3^5 + 1^3
-5(-4.5) + 25 + 10.5625 - 7.5 + 3 * 10 - (-0.512) - 243 + 1
Next, there are three multiplications to take care of.
-5(-4.5) + 25 + 10.5625 - 7.5 + 3 * 10 - (-0.512) - 243 + 1
22.5 + 25 + 10.5625 - 7.5 + 30 + 0.512 - 243 + 1
Yes, that third one was -1 * -0.512, which gave +0.512
Finally, we are left with addition and subtraction. Although it is not
necessary to group these, I will do so to make it easy to follow.
(22.5 + 25) + (10.5625 - 7.5) + (30 + 0.512) - (243 + 1)
47.5 + 3.0625 + 30.512 - 242
(47.5 + 3.0625) + 30.512 - 242
50.5625 + 30.512 - 242
50.5625+ 30.512 - 242
(50.5625 + 30.512) - 242
81.0745 - 242
81.0745 - 242
-160.9255
There is the answer: -160.9255