Evaluate \(\frac{(2.813 \times 10^{-3} \times 1.063)}{(5.637 \times 10^{-2})}\) reducing each number to two significant figures and leaving your answer in two significant figures.

If 314\(_{10}\) - 256\(_7\) = 340\(_x\), find x.

Simplify \(\frac{3(2^{n+1}) - 4(2^{n-1})}{2^{n+1} - 2^n}\)

If \(P344_{6} - 23P2_{6} = 2PP2_{6}\), find the value of the digit P.