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:

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

$40k^15v^9$

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