Select the best answer for the question.
13. What is $4^3$ in expanded form?
A. $12 \times 12 \times 12$
B. $8 \times 8$
C. $3 \times 3 \times 3 \times 3$
D. $4 \times 4 \times 4
Answer (2)
The expanded form of 4 3 is 4 × 4 × 4 . The correct choice from the options given is D. This means you multiply the number 4 by itself three times.
;
4 3 means 4 multiplied by itself three times.
The expanded form of 4 3 is 4 × 4 × 4 .
Comparing with the options, we find the correct answer.
The correct answer is 4 × 4 × 4
Explanation
Understanding the problem The question asks us to identify the expanded form of 4 3 . This means we need to understand what the exponent 3 means when applied to the base 4.
Calculating the expanded form The expression 4 3 means 4 multiplied by itself three times. So, we can write it as 4 × 4 × 4 .
Comparing with the options Now, let's compare this with the given options:
Option A: 12 × 12 × 12 - This is incorrect because it represents 1 2 3 , not 4 3 .
Option B: 8 × 8 - This is incorrect because it represents 8 2 , not 4 3 .
Option C: 3 × 3 × 3 × 3 - This is incorrect because it represents 3 4 , not 4 3 .
Option D: 4 × 4 × 4 - This is the correct expanded form of 4 3 .
Final Answer Therefore, the correct answer is D. 4 × 4 × 4 .
Examples
Exponents are a way to write repeated multiplication in a simpler way. For example, if you want to calculate the volume of a cube with sides of length 5 cm, you would calculate 5 3 = 5 × 5 × 5 = 125 cubic centimeters. Understanding exponents helps in many areas, such as calculating compound interest, population growth, and even in computer science when dealing with data storage sizes.
