To determine the value of [tex]\(32^4\)[/tex], we need to understand what this expression means. The notation [tex]\(32^4\)[/tex] represents raising the number 32 to the power of 4. This involves multiplying 32 by itself a total of 4 times. Let's break it down step-by-step:
1. Write the expression: [tex]\(32^4\)[/tex]
2. Expand the exponentiation into multiplications: [tex]\(32 \times 32 \times 32 \times 32\)[/tex]
Now let's consider the value of this repeated multiplication:
- First, calculate [tex]\(32 \times 32\)[/tex]:
- [tex]\(32 \times 32 = 1024\)[/tex]
- Next, use the result to multiply by 32 again:
- [tex]\(1024 \times 32 = 32,768\)[/tex]
- Finally, multiply 32,768 by 32 one more time:
- [tex]\(32,768 \times 32 = 1,048,576\)[/tex]
Thus, the value of [tex]\(32^4\)[/tex] is 1,048,576. Therefore, the best answer is:
A. [tex]$1,048,576$[/tex]
