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

Answer 1

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

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

First, we compute \(100^{\frac{1}{2}}\):

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

Now, substituting back, we have:

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

Finally, we compute \(10^3\):

\[ 10^3 = 1000 \]

Thus, the product for \(100^{\frac{3}{2}}\) is:

\[ \boxed{1000} \]