QuestionCalculate the expression $(10 + 2 - 2) \cdot 6^{2} - 1$ .

Studdy Solution

STEP 1

Assumptions1. We are given the mathematical expression $10+-) \cdot6^{}-1$ . . 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 remembered by the acronym PEMAS.

STEP 2

First, we notice that there is a closing parenthesis in the expression, but no corresponding opening parenthesis. This seems to be a mistake. We need to correct this before we can proceed. Assuming that the correct expression is $(10+2-2) \cdot6^{2}-1$ , we can now proceed.

STEP 3

Now, we will solve the expression inside the parentheses first.
$10+2-2 =10$

STEP 4

Next, we will solve the exponent.
$6^{2} =36$

STEP 5

Now, we will substitute the results from steps3 and4 back into the expression.
$10 \cdot36 -1$

STEP 6

Next, we will perform the multiplication.
$10 \cdot36 =360$

STEP 7

Now, we will substitute the result from step6 back into the expression.
$360 -1$

STEP 8

Finally, we will perform the subtraction.
$360 -1 =359$ So, the solution to the given mathematical expression is359.

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QuestionCalculate the expression $(10 + 2 - 2) \cdot 6^{2} - 1$ .

Studdy Solution

STEP 1

Assumptions1. We are given the mathematical expression $10+-) \cdot6^{}-1$ . . 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 remembered by the acronym PEMAS.

STEP 2

First, we notice that there is a closing parenthesis in the expression, but no corresponding opening parenthesis. This seems to be a mistake. We need to correct this before we can proceed. Assuming that the correct expression is $(10+2-2) \cdot6^{2}-1$ , we can now proceed.

STEP 3

Now, we will solve the expression inside the parentheses first.
$10+2-2 =10$

STEP 4

Next, we will solve the exponent.
$6^{2} =36$

STEP 5

Now, we will substitute the results from steps3 and4 back into the expression.
$10 \cdot36 -1$

STEP 6

Next, we will perform the multiplication.
$10 \cdot36 =360$

STEP 7

Now, we will substitute the result from step6 back into the expression.
$360 -1$

STEP 8

Finally, we will perform the subtraction.
$360 -1 =359$ So, the solution to the given mathematical expression is359.

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QuestionCalculate the expression (10+2−2)⋅62−1(10 + 2 - 2) \cdot 6^{2} - 1(10+2−2)⋅62−1.

Studdy Solution

STEP 1

STEP 2

STEP 3

Now, we will solve the expression inside the parentheses first.10+2−2=1010+2-2 =1010+2−2=10

STEP 4

Next, we will solve the exponent.62=366^{2} =3662=36

STEP 5

Now, we will substitute the results from steps3 and4 back into the expression.10⋅36−110 \cdot36 -110⋅36−1

STEP 6

Next, we will perform the multiplication.10⋅36=36010 \cdot36 =36010⋅36=360

STEP 7

Now, we will substitute the result from step6 back into the expression.360−1360 -1360−1

STEP 8

Finally, we will perform the subtraction.360−1=359360 -1 =359360−1=359So, the solution to the given mathematical expression is359.

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QuestionCalculate the expression $(10 + 2 - 2) \cdot 6^{2} - 1$ .

Now, we will solve the expression inside the parentheses first.
$10+2-2 =10$

Next, we will solve the exponent.
$6^{2} =36$

Now, we will substitute the results from steps3 and4 back into the expression.
$10 \cdot36 -1$

Next, we will perform the multiplication.
$10 \cdot36 =360$

Now, we will substitute the result from step6 back into the expression.
$360 -1$

Finally, we will perform the subtraction.
$360 -1 =359$ So, the solution to the given mathematical expression is359.