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

Answer 1

To rewrite \( 100^{3/2} \) as a product of identical factors, we first express it in simpler terms:

\[ 100^{3/2} = (100^{1/2})^3 \]

Next, we calculate \( 100^{1/2} \):

\[ 100^{1/2} = \sqrt{100} = 10 \]

Now we substitute this back into our expression:

\[ (100^{1/2})^3 = 10^3 \]

Calculating \( 10^3 \):

\[ 10^3 = 1000 \]

Thus, the expression \( 100^{3/2} \) can be rewritten in simplified form:

\[ 100^{3/2} = 1000 \]

Therefore, the product is:

\[ \boxed{1000} \]