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[tex]\[ \frac{3 \times 6^2 - 2}{6} \][/tex]

What is the first step you should take to solve the formula shown?

A. Find the value of \( 6^2 \).

B. Multiply 3 by 6.

C. Subtract 2 from 3.

D. Cancel 6 into 6.

Sagot :

GinnyAnsweridn
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.
TiltedLunaridn

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.

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