# SOLUTION: 5^2 + 3^2[-4^2(5^2 +3 * -9) + -2^3] + 5^2

Algebra ->  -> SOLUTION: 5^2 + 3^2[-4^2(5^2 +3 * -9) + -2^3] + 5^2       Log On

 Ad: Mathway solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Click here to see ALL problems on Exponents Question 719667: 5^2 + 3^2[-4^2(5^2 +3 * -9) + -2^3] + 5^2 Answer by jsmallt9(3438)   (Show Source): You can put this solution on YOUR website!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(5^2 +3 * -9) + -2^3] + 5^2 In this group we will do the exponent first: 5^2 + 3^2[-4^2(25 +3 * -9) + -2^3] + 5^2 then multiply: 5^2 + 3^2[-4^2(25 + (-27)) + -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[-4^2(-2) + -2^3] + 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[-16(-2) + (-8)] + 5^2 Next we multiply -16 and -2: 5^2 + 3^2[32 + (-8)] + 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