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#
\(3(7^2 + 5) ÷ 6 – 3=\)

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Question:

`_________`

.
A
24

explanation

Step 1: Find/Simplify Anything Involving Parentheses

Remember that \(7^2\) really means (7 *7), which is 49.

\(3(7^2+ 5) ÷ 6 – 3\)

Is now …

3(49 + 5) ÷ 6 – 3

Since there is still an expression in parentheses, we add the two numbers in parentheses.

3(49 + 5) ÷ 6 – 3

Which is now …

3(54) ÷ 6 – 3

Step 2: Once Parentheses Are Complete, Move On

Since there are no more operations in parentheses and no more exponents, we now move on to multiplication and division – whichever comes first working from left to right.

3(54) ÷ 6 – 3

Becomes:

162 ÷ 6 – 3

We then perform the division.

162 ÷ 6 – 3

And get:

27 – 3

Step 3: Continue Following Order of Operations

Since we only have one operation left, we can solve it.

27 – 3 = 24

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