Select the best answer for the question. What is $6^2$ in expanded form?
A. 12
B. 36
C. $2 \times 2 \times 2 \times 2 \times 2 \times 2$
D. $6 \times 6$
Answer (2)
Understand that 6 2 means 6 multiplied by itself.
Recognize that the expanded form of 6 2 is 6 × 6 .
Eliminate incorrect options based on the definition of squaring a number.
Select the correct expanded form: 6 × 6 .
Explanation
Understanding the problem The question asks us to find the expanded form of 6 2 . This means we need to understand what it means to square a number.
Calculating the square Squaring a number means multiplying the number by itself. So, 6 2 means 6 × 6 .
Analyzing the options Now, let's look at the options:
A. 12
B. 36
C. 2 × 2 × 2 × 2 × 2 × 2
D. 6 × 6
Option A is incorrect because 6 + 6 = 12 , not 6 × 6 .
Option B is the result of 6 × 6 , which is 36. However, the question asks for the expanded form, not the result. Option C is 2 6 , which is not related to 6 2 .
Option D is 6 × 6 , which is the expanded form of 6 2 .
Final Answer Therefore, the best answer is D. 6 × 6 .
Examples
Understanding exponents is crucial in many areas, such as calculating the area of a square. If you have a square with sides of length 6, the area is 6 2 = 6 × 6 = 36 square units. This concept extends to more complex calculations in physics, engineering, and computer science.
The best answer for the expanded form of 6 2 is option D, which is 6 × 6 . This shows that squaring 6 means multiplying it by itself. Option B provides the value of the expression, but not its expanded form.
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