#### Answer

$200=2^3\times5^2$

#### Work Step by Step

200 is an even number, so it is a multiple of 2.
$200=2\times100$
100 is also an even number, so it is a multiple of 2.
$200=2\times2\times50$
50 is also an even number, so it is a multiple of 2.
$200=2\times2\times2\times 25$
25 is the square of 5.
$200=2\times2\times2\times5\times5=2^3\times5^2$