Evaluate each of the following and express with an appropriate prefix: (a) (430 kg) ², (b) (0.002 mg)², and (c) (230 m)³.
Solution:
a)
b)
![\left(0.002\:mg\right)^2=\left[2\left(10^{-6}\right)g\right]^2=4\:\mu g^2](https://s0.wp.com/latex.php?latex=%5Cleft%280.002%5C%3Amg%5Cright%29%5E2%3D%5Cleft%5B2%5Cleft%2810%5E%7B-6%7D%5Cright%29g%5Cright%5D%5E2%3D4%5C%3A%5Cmu+g%5E2&bg=ffffff&fg=000000&s=1&c=20201002)
c)
![\left(230\:m\right)^3=\left[0.23\left(10^3\right)m\right]^3=0.0122\:km^3](https://s0.wp.com/latex.php?latex=%5Cleft%28230%5C%3Am%5Cright%29%5E3%3D%5Cleft%5B0.23%5Cleft%2810%5E3%5Cright%29m%5Cright%5D%5E3%3D0.0122%5C%3Akm%5E3&bg=ffffff&fg=000000&s=1&c=20201002)
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