How do you simplify #13 + (3 * (5 + 3)^2)#?

Question

Hazel Anglin · Accepted Answer

205

Utilize these guidelines to calculate your expression: #A=13+(3*(5+3)^2)# computes the contents of the parenthesis first. #A=13+(3*(color(red)8)^2)# After, apply the power #2# #A=13+(3*color(blue)64)# computes what is contained in the parenthesis once more. #A=13+(color(red)192)# Complete the addition. #A=205# Note: Use this computation order to calculate a numerical expression in calculus: 1. Parenthesis; 2. Division and Multiplication; 3. Addition and Subtraction

Hazel Anglin · Answer

undefined To simplify the expression $13 + (3 \times (5 + 3)^2)$, follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

1. Start by simplifying the expression inside the innermost parentheses:

$$5 + 3 = 8$$

2. Then, square the result:

$$8^2 = 64$$

3. Next, multiply the squared result by 3:

$$3 \times 64 = 192$$

4. Finally, add the result to 13:

$$13 + 192 = 205$$

So, the simplified expression is $205$.