Rewrite the expression as a product of identical factors to find the product for 100 3/2
. Submit your answer in simplified form.
To find the product of 100 3/2 as a product of identical factors, we first need to convert the mixed number 100 3/2 into an improper fraction.
To do this, we multiply the whole number (100) by the denominator of the fraction (2) and add the numerator (3).
100 * 2 = 200
200 + 3 = 203
So, 100 3/2 as an improper fraction is 203/2.
Now, we can express 203/2 as a product of identical factors. Since 203/2 is already in its simplest form, we cannot simplify it further. Therefore, the product of 100 3/2 as a product of identical factors is 203/2.
To rewrite the expression as a product of identical factors, we can express 100 3/2 as the product of 100 and 3/2.
Since 100 can be written as 10^2 and 3/2 can be written as (3/2)^1, we can rewrite the expression as:
(10^2) * ((3/2)^1)
Now, let's simplify this expression to find the product:
10^2 = 10 * 10 = 100
(3/2)^1 = 3/2
Therefore, the product of 100 3/2 in simplified form is:
100 * (3/2) = 150
100 3/2 can be rewritten as 103/2.
To find the product as a product of identical factors, we can rewrite 103/2 as (10^3)^(1/2).
Then, using the property of exponents, we have (10^3)^(1/2) = 10^(3*(1/2)).
Simplifying further, 3*(1/2) = 3/2, so (10^3)^(1/2) = 10^(3/2).
Therefore, the product of 100 3/2 as a product of identical factors is 10^(3/2).