Math

QuestionCalculate the value of the expression: 3×9+(9)2-3 \times 9 + (-9)^{2}.

Studdy Solution

STEP 1

Assumptions1. We are given the expression 3×9+(9)-3 \times9+(-9)^{} . We will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we will perform the operation inside the parentheses. In this case, it's (9)2(-9)^{2}.
(9)2(-9)^{2}

STEP 3

Calculate the value of (9)2(-9)^{2}.
(9)2=81(-9)^{2} =81

STEP 4

Now, replace (9)2(-9)^{2} in the original expression with81.
3×9+81-3 \times9 +81

STEP 5

Next, we will perform the multiplication operation, which is 3×9-3 \times9.
3×9-3 \times9

STEP 6

Calculate the value of 3×9-3 \times9.
3×9=27-3 \times9 = -27

STEP 7

Now, replace 3×9-3 \times9 in the expression with -27.
27+81-27 +81

STEP 8

Finally, we will perform the addition operation, which is 27+81-27 +81.
27+81-27 +81

STEP 9

Calculate the value of 27+81-27 +81.
27+81=54-27 +81 =54So, the value of the expression 3×9+(9)2-3 \times9+(-9)^{2} is54.

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