Math

QuestionCalculate the value of 3(5+1)÷323 \cdot(5+1) \div 3^{2}.

Studdy Solution

STEP 1

Assumptions1. The problem is 3(5+1)÷33 \cdot(5+1) \div3^{} . 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 need to solve the operation inside the parentheses.
(5+1)÷2=6÷2 \cdot(5+1) \div^{2} = \cdot6 \div^{2}

STEP 3

Next, we need to solve the exponent.
36÷32=36÷93 \cdot6 \div3^{2} =3 \cdot6 \div9

STEP 4

Then, we perform the multiplication operation.
36÷9=18÷93 \cdot6 \div9 =18 \div9

STEP 5

Finally, we perform the division operation.
18÷9=218 \div9 =2So, 3(5+1)÷32=23 \cdot(5+1) \div3^{2} =2.

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