#Need help with Algebra work

4 messages · Page 1 of 1 (latest)

carmine coral
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(x * y^3)/(x^(1/2) * y^6)
= x^(1 - 1/2) * y^(3 - 6)
= x^(1/2) * y^(-3)
= sqrt(x)/y^3```
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Because x^(1/2) = sqrt(x), because... that's just what it means. Like, by definition, the nth root of x is x^(1/n).

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Similarly, y^(-3) = 1/y^3 pretty much by definition.

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You can derive these from exponent rules.