Question

Which expression is equivalent to 7 2/3⋅7 1/4?

Answer 1

`7^{(11)/(12)}`

Explanation:

Rule:

`a^m * a^n = a^(m + n)`

This problem:

`7^{(2)/(3)} * 7^{(1)/(4)} =`

`= 7^{(2)/(3) + (1)/(4)}`

`= 7^{(8)/(12) + (3)/(12)}`

`= 7^{(11)/(12)}`