Math

QuestionCalculate 62÷2(3)+46^{2} \div 2(3)+4.

Studdy Solution

STEP 1

Assumptions1. We are given the mathematical expression 6÷(3)+46^{} \div(3)+4. . We need to solve this expression 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 calculate the exponent (or index) part of the expression. This is 626^{2}.
62=366^{2} =36

STEP 3

Now, substitute 626^{2} with36 in the original expression.
36÷2(3)+36 \div2(3)+

STEP 4

Next, we need to perform the multiplication operation. This is 2(3)2(3).
2(3)=62(3) =6

STEP 5

Now, substitute 2(3)2(3) with in the expression.
36÷+436 \div+4

STEP 6

Next, we need to perform the division operation. This is 36÷636 \div6.
36÷6=636 \div6 =6

STEP 7

Now, substitute 36÷636 \div6 with6 in the expression.
6+46+4

STEP 8

Finally, perform the addition operation. This is 6+46+4.
6+4=106+4 =10So, the solution to the expression 62÷2(3)+46^{2} \div2(3)+4 is10.

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