Question
Rewrite the expression as a product of identical factors to find the product for 100 3/2
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Answered by
GPT 3.5
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).
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).
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