How do you evaluate #(1 + 3 * 3)^2 + 8#?

1 Answer
Mar 20, 2018

Answer:

108

Explanation:

  • Remember that PEMDAS:

  • List item

  • List item
  • Parenthesis
  • Exponents
  • Multiplication
  • Division
  • Addition
  • Subtraction

*Remember that steps 3/4 can happen in either order depending on what appear first when reading the equation from left to right. This same rule applies with steps 5/6 as well *

is the necessary order of operations to solve all equations.

  • Solving the Equation:

#(1 + 3*3)^2 + 8#
- to begin, rewrite the problem, and identify the first step according to PEMDAS
- The first letter of PEMDAS, P stands for parenthesis, which are present
- So, we begin by solving inside the parenthesis

#(1 + 3*3)^2 +8#

  • Inside the parenthesis, we restart with PEMDAS: Since there are no parenthesis or exponents INSIDE the parenthesis, we move on to multiplication - 3 x 3 = 9 - so the equation should look like this:

# (1+9)^2+8#

  • To finish the parenthesis, we move down PEMDAS - since there is no more multiplication or division, we can add -
  • 1 + 9 = 10 - so the parenthesis are removed because they have been simplified, and the equation should look like this:

#10^2+8#

  • Then, we return to the beginning of PEMDAS - since there are no more parenthesis, we can move on to the exponent that is present.
  • #10^2=100# - so, the number 100 can fill the place of #10^2# in the equation

#100+8#

  • Finally, we can move on to the next part of PEMDAS - since there is no more multiplication or division, we can move on addition and subtraction

#100+8=108# - so you have your answer!