Answer :
To solve the formula
[tex]\[ \frac{3 \times 6^2 - 2}{6} \][/tex]
we need to follow the order of operations, often referred to by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Given the expression, let's determine the first step:
A. Find the value of 6 squared. \
B. Multiply 3 by 6. \
C. Subtract 2 from 3. \
D. Cancel 6 into 6.
Analyzing the expression and using the order of operations, the very first operation we encounter involves the exponentiation \(6^2\).
Therefore, the first step we should take is:
A. Find the value of 6 squared.
[tex]\[ \frac{3 \times 6^2 - 2}{6} \][/tex]
we need to follow the order of operations, often referred to by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Given the expression, let's determine the first step:
A. Find the value of 6 squared. \
B. Multiply 3 by 6. \
C. Subtract 2 from 3. \
D. Cancel 6 into 6.
Analyzing the expression and using the order of operations, the very first operation we encounter involves the exponentiation \(6^2\).
Therefore, the first step we should take is:
A. Find the value of 6 squared.
A. Find the value of $6^2$.
Explanation:
1. In mathematical expressions, we follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
2. In this formula, there are no parentheses, so we move to exponents.
3. The exponent $6^2$ should be evaluated first as it has the highest precedence among the operations present.
4. After calculating $6^2$, you would then multiply by 3, subtract 2, and finally divide by 6.
5. Options B, C, and D are incorrect as they either violate the order of operations or suggest operations that aren't appropriate for this expression.
Therefore, finding the value of $6^2$ is the correct first step in solving this formula.
