Question 719667
To simplify this expression we will, of course, follow the order of operations (aka PEMDAS or GEMDAS). First is the grouping symbols. As you have probably learned, start in the innermost group (underlined below):
5^2 + 3^2[-4^2(<u>5^2 +3 * -9</u>) + -2^3] + 5^2
In this group we will do the exponent first:
5^2 + 3^2[-4^2(<u>25 +3 * -9</u>) + -2^3] + 5^2
then multiply:
5^2 + 3^2[-4^2(<u>25 + (-27)</u>) + -2^3] + 5^2
and finally add:
5^2 + 3^2[-4^2(-2) + -2^3] + 5^2
Now we move out to the remaining group:
5^2 + 3^2[<u>-4^2(-2) + -2^3</u>] + 5^2
First the exponents. This is probably the easiest place in this problem to make a mistake. "-4^2" means -4*4 NOT (-4)*(-4)!! In words, "-4^2" means "the negative of 4 squareed" not "negative 4 squared". And "-2^3" means -2*2*2. So we get:
5^2 + 3^2[<u>-16(-2) + (-8)</u>] + 5^2
Next we multiply -16 and -2:
5^2 + 3^2[<u>32 + (-8)</u>] + 5^2
and then add:
5^2 + 3^2[24] + 5^2
One more round. Exponents:
25 + 9[24] + 25
Multiply:
25 + 216 + 25
Add:
266