QuestionEvaluate the expression: $(18 - -11 \times -1)^{2}$ .

Studdy Solution

STEP 1

Assumptions1. The expression given is $(18--11 \times -1)^{}$ . The operations in the expression should be performed following the order of operations, also known as BIDMAS or PEMAS, which stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to perform the multiplication operation inside the brackets.
$(18--11 \times -1)^{2} = (18--11) ^{2}$

STEP 3

Now, we need to perform the subtraction operation inside the brackets. Note that subtracting a negative number is the same as adding a positive number.
$(18--11)^{2} = (18+11)^{2}$

STEP 4

Calculate the value inside the brackets.
$(18+11)^{2} = (29)^{2}$

STEP 5

Now, we need to perform the exponentiation operation.
$(29)^{2} =29 \times29$

STEP 6

Calculate the value of the expression.
$29 \times29 =841$ The value of the expression $(18--11 \times -1)^{2}$ is841.

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QuestionEvaluate the expression: $(18 - -11 \times -1)^{2}$ .

Studdy Solution

STEP 1

STEP 2

First, we need to perform the multiplication operation inside the brackets.
$(18--11 \times -1)^{2} = (18--11) ^{2}$

STEP 3

Now, we need to perform the subtraction operation inside the brackets. Note that subtracting a negative number is the same as adding a positive number.
$(18--11)^{2} = (18+11)^{2}$

STEP 4

Calculate the value inside the brackets.
$(18+11)^{2} = (29)^{2}$

STEP 5

Now, we need to perform the exponentiation operation.
$(29)^{2} =29 \times29$

STEP 6

Calculate the value of the expression.
$29 \times29 =841$ The value of the expression $(18--11 \times -1)^{2}$ is841.

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QuestionEvaluate the expression: (18−−11×−1)2(18 - -11 \times -1)^{2}(18−−11×−1)2.

Studdy Solution

STEP 1

STEP 2

First, we need to perform the multiplication operation inside the brackets.(18−−11×−1)2=(18−−11)2(18--11 \times -1)^{2} = (18--11) ^{2} (18−−11×−1)2=(18−−11)2

STEP 3

Now, we need to perform the subtraction operation inside the brackets. Note that subtracting a negative number is the same as adding a positive number.(18−−11)2=(18+11)2(18--11)^{2} = (18+11)^{2} (18−−11)2=(18+11)2

STEP 4

Calculate the value inside the brackets.(18+11)2=(29)2(18+11)^{2} = (29)^{2} (18+11)2=(29)2

STEP 5

Now, we need to perform the exponentiation operation.(29)2=29×29(29)^{2} =29 \times29(29)2=29×29

STEP 6

Calculate the value of the expression.29×29=84129 \times29 =84129×29=841The value of the expression (18−−11×−1)2(18--11 \times -1)^{2}(18−−11×−1)2 is841.

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QuestionEvaluate the expression: $(18 - -11 \times -1)^{2}$ .

First, we need to perform the multiplication operation inside the brackets.
$(18--11 \times -1)^{2} = (18--11) ^{2}$

Now, we need to perform the subtraction operation inside the brackets. Note that subtracting a negative number is the same as adding a positive number.
$(18--11)^{2} = (18+11)^{2}$

Calculate the value inside the brackets.
$(18+11)^{2} = (29)^{2}$

Now, we need to perform the exponentiation operation.
$(29)^{2} =29 \times29$

Calculate the value of the expression.
$29 \times29 =841$ The value of the expression $(18--11 \times -1)^{2}$ is841.