To rewrite \( 100^{3/2} \) as a product of identical factors, we can start by expressing \( 100 \) as \( 10^2 \):
\[ 100^{3/2} = (10^2)^{3/2} \]
Using the property of exponents that states \((a^m)^n = a^{m \cdot n}\), we can simplify this:
\[ (10^2)^{3/2} = 10^{2 \cdot (3/2)} = 10^3 \]
Now, we can rewrite \( 10^3 \) as a product of identical factors:
\[ 10^3 = 10 \times 10 \times 10 \]
Thus, the expression \( 100^{3/2} \) as a product of identical factors is:
\[ 10 \times 10 \times 10 \]
This product evaluates to \( 1000 \).