Question

Rewrite the expression as a product of identical factors to find the product for 10032
. Submit your answer in simplified form

Answer 1

just the answer pls

Answer 2

it just wants it simplifyed

Answer 3

its 100 3/2 not 10032

Answer 4

so the answer is

Answer 5

To rewrite the number 10032 as a product of identical factors, we can begin by finding its prime factorization.

1. **Find the prime factorization of 10032**:
- Divide by 2 (since it’s even):
\[
10032 \div 2 = 5016
\]
- Divide 5016 by 2:
\[
5016 \div 2 = 2508
\]
- Divide 2508 by 2:
\[
2508 \div 2 = 1254
\]
- Divide 1254 by 2:
\[
1254 \div 2 = 627
\]
- 627 is odd, so we try dividing by 3:
\[
627 \div 3 = 209
\]
- Divide 209 by 11:
\[
209 \div 11 = 19
\]
- 19 is a prime number.

So, the prime factorization of 10032 is:
\[
10032 = 2^4 \times 3^1 \times 11^1 \times 19^1
\]

2. **Rearranging the factors**:
- We can combine the factors to find identical products. However, since these are not all identical:
- We can group the factors but keep the prime bases as is:

3. **Finding identical products**:
- We can choose to express it using one base factor raised to a power:
- Rewrite it in simplified form:
\[
10032 = (2^2 \times 3 \times 11 \times 19)^2 = (4 \times 3 \times 11 \times 19)^2
\]

4. **Calculating \(4 \times 3 \times 11 \times 19\)**:
- First compute \(4 \times 3 = 12\).
- Then \(12 \times 11 = 132\).
- Finally, \(132 \times 19 = 2508\).

Thus, we get:
\[
10032 = (2508)^2
\]

Therefore, you can express 10032 as the product of identical factors in simplified form as:
\[
10032 = (252 \times 4)^2
\]

This could vary depending on how you wish to express your identical products, as multiple ways exist to represent the product using combinations of factors.

**Final Answer:**
\[
10032 = (2508)^2
\]

Answer 6

10032 = \( (252 \times 4)^2 \) or \( 10032 = (2508)^2 \)

Answer 7

10032 can be expressed as:

**10032 = \( 2^4 \times 3 \times 11 \times 19 \)**

Answer 8

I apologize for the misunderstanding. To simplify \(100 \frac{3}{2}\):

1. Convert the mixed number into an improper fraction:
\[
100 \frac{3}{2} = \frac{200}{2} + \frac{3}{2} = \frac{203}{2}.
\]

2. This fraction is already in its simplest form.

So, the simplified expression is:
\[
\frac{203}{2}.
\]

Answer 9

The simplified form of \( 100 \frac{3}{2} \) is:

\[
\frac{203}{2}
\]