Question

The Expression r^7/3 / r^1/4 simplifies to r^?
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Answer 1

`r^{(25)/(12) }`

Explanation:

using the rule of exponents

•
`(a^(m) )/(a^(n) )` =
`a^((m-n))`

given

`\frac{r^{(7)/(3) } }{r^{(1)/(4) } }`

=
`r^({(7)/(3)-(1)/(4)) }`

=
`r^{(28)/(12)-(3)/(12) }`

=
`r^{(25)/(12) }`