If
(x3)(y2) = 500; find x and y.
solution
(x3)(y2)
= 500 [500=2x2x5x5x5 by prime
factorization].
(x3)(y2)
= (53 )x (22) [ since 500=53 x 23].
equating
equal powers,
(x3)
= (53)
x
= 5
also,
(y2)
= (22)
y = 2
∴ x = 5
and y = 2
TRY
THIS…………
If
(m3)(n5) = 4000; find m and n.
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