Victoria writes
3√14³ = (14^1/6) ³ = 14^3/6 = 14^1/6 so
n = 2
Is Victoria correct? Justify your answer
No, Victoria is not correct.
To simplify 3√(14³), we can first simplify the cube root of 14³. The cube root of 14³ is equal to 14^(3/3) = 14¹ = 14.
Therefore, 3√(14³) = 3√(14) = 14, not 14^(1/6).
Additionally, the equation n = 2 provided by Victoria does not seem to be related to the original expression and mathematically incorrect without further context.