How do you simplify #(10k^5v)^3(1/5v^3)^2#?

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Answer 1 · 2018-06-11T23:59:49

#=>40k^15v^9#

#(10k^5v)^3 (1/5 v^3)^2#

Quantities with powers raised to powers multiply:

#10^3k^(5*3)v^3 (1/5)^2 v^(3*2)#

#1000k^15v^3(1/25)v^6#

Like-terms that are multiplied have their powers summed:

#40k^15v^(3+6)#

#40k^15v^9#