Question

Find the product with the exponent in simplest form.

Answer 1

x = 7 , y = 12

Explanation:

using the rule of exponents

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

consider left side

`6^{(1)/(3) }` ×
`6^{(1)/(4) }`

=
`6^{((1)/(3)+(1)/(4)) }`

=
`6^{((4)/(12)+(3)/(12)) }`

=
`6^{(7)/(12) }` =
`6^{(x)/(y) }` , comparing exponents , then

x = 7 and y = 12