Question

16 x cube root of 2 = 2^n

Answer 1

First, simplify the left side:

(16 times cube root of 2 = 16 times 2^{1/3} = 2^4 times 2^{1/3} = 2^{4 + 1/3}

Now, set the exponents equal to each other:

(4 + {1}/{3} = n)

So, (n = 13/3) or
4.3
4 1/3