What is the value of 1000^2/(252^2/248^2)

How do you do it faster

http://www.google.com/search?q=1000%5E2%2F(252%5E2%2F248%5E2)&oq=1000%5E2%2F(252%5E2%2F248%5E2)&aqs=chrome..69i57j0.4376j0j8&sourceid=chrome&espv=210&es_sm=93&ie=UTF-8

To calculate the value of the expression 1000^2 / (252^2 / 248^2), you can follow the order of operations (PEMDAS/BODMAS):

1. Begin by calculating the numerator: 1000^2 = 1,000,000.

2. Then, calculate each term in the denominator:
- 252^2 = 63,504.
- 248^2 = 61,504.

3. Next, divide the two terms in the denominator: 63,504 / 61,504 = 1.03299 (rounded to five decimal places).

4. Finally, divide the numerator by the result obtained in step 3: 1,000,000 / 1.03299 = 969,709.8314 (rounded to four decimal places).

To arrive at the answer faster, you can utilize a calculator with the ability to handle exponentiation and division. Simply enter the expression into the calculator and it will provide the result directly without manually calculating each step.

1000^2/(252^2/248^2)

= 10^6 / (252/248)^2
= 10^6 / (63/62)^2
= 3844/3969/3844 * 10^6
= 3844000000/3969

sort of pointless to ask "how do you do it faster"
the fastest way would be to simply punch it into a calculator like Ms Sue showed you