book Maths Puzzle Numerical Ability

Given the quadratic function f(x)=2x^2-8x-3 Find the following: a) the location of the vertex, b) the x-intercepts, if they exist c)the y-intercept, and d) graph.

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book Other Question

I saw a similar problem posted but am not sure of the solution to this one. Can someone help?
16^3/2
I got the answer as 6, because 16 = 4^4 and 4 times 3/2 = 12/2 =6 am I right? If not can someone please explain? Thanks.
solve "d"
16^(d-4) = 3^(3-d)