Homework Help: math

Posted by aly on Saturday, January 19, 2013 at 9:31pm.

*cubic square root*125h^9s^1/*cubic square root*h^-6s^-1

The expression above equals kh^rs^t
where r, the exponent of h, is..?
and t, the exponent of s, is...?
and k, the leading coefficient is...?
all answers should be rational numbers

math - Reiny, Saturday, January 19, 2013 at 9:50pm
Never heard of a cubic square root

we have a square root , such as √9 or 9^(1/2)
we have a cube root, such as 27^(1/3)

so I will assume you have

(125h^9 s)^(1/3) / (h^-6 s^-1)^(1/3)
= 5h^3 s^(1/3) / (h^-2 s^(-1/3)
= 5 h^5 s^(2/3)

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