Rewrite the expression as a product of identical factors to find the product for 100^(3/2). Submit your answer in simplified form.
To rewrite the expression as a product of identical factors, we can rewrite 100^(3/2) as (10^2)^(3/2).
Using the property of exponents, we can simplify this as 10^(2*(3/2)).
Since 2 * (3/2) is equal to 3, the expression becomes 10^3.
Therefore, the product of 100^(3/2) is 10^3.
To rewrite the expression 100^(3/2) as a product of identical factors, we can express it in exponential form. The expression 100^(3/2) is equivalent to (10^2)^(3/2).
Using the rule of exponentiation ((a^m)^n = a^(m*n)), we can simplify this to 10^(2*(3/2)).
Next, we simplify within the parentheses: 2*(3/2) = 3.
Therefore, 10^(2*(3/2)) is equal to 10^3.
Hence, the expression 100^(3/2) can be written as 10^3, which is the final answer.
To rewrite the expression 100^(3/2) as a product of identical factors, we need to express 100 as a perfect square, since we have a fractional exponent (3/2).
Let's find the square root of 100: √100 = 10
Therefore, we can rewrite 100 as (10^2).
Now, we can rewrite the expression 100^(3/2) as ((10^2)^(3/2)).
Next, we can apply the power rule of exponents, which states that (a^n)^m = a^(n * m).
Therefore, ((10^2)^(3/2)) = 10^(2 * (3/2)) = 10^3.
So, the expression 100^(3/2) can be simplified as 10^3.
The simplified form of 100^(3/2) is 10^3.