Question

Rewrite the expression as a product of identical factors to find the product for 100 3/2 write your answer in simplified form

Answer 1

To rewrite the expression \(100^{3/2}\) as a product of identical factors, we can break it down as follows:

1. Recognize that \(100 = 10^2\). Therefore, we can rewrite \(100^{3/2}\) as:
\[
(10^2)^{3/2}
\]

2. Using the property of exponents \((a^m)^n = a^{m \cdot n}\), we can simplify this to:
\[
10^{2 \cdot (3/2)} = 10^3
\]

3. Now we can find \(10^3\):
\[
10^3 = 1000
\]

So, \(100^{3/2} = 1000\).

Thus, the final answer is:
\[
1000
\]