To rewrite the expression \(100^{3/2}\) as a product of identical factors, we can first express it using the property of exponents:
\[ 100^{3/2} = (100^{1/2})^3 \]
Next, we compute \(100^{1/2}\):
\[ 100^{1/2} = \sqrt{100} = 10 \]
Now we can substitute this back into our expression:
\[ (100^{1/2})^3 = 10^3 \]
Now calculate \(10^3\):
\[ 10^3 = 1000 \]
Thus, the product for \(100^{3/2}\) in simplified form is:
\[ \boxed{1000} \]