If $$\begin{align}2*6&=7,\\4*2&=72\quad\text{and}\\7*3&=144\end{align}$$
then,
$$\;\;5*8=\;?\qquad\qquad$$
If $$\begin{align}2*6&=7,\\4*2&=72\quad\text{and}\\7*3&=144\end{align}$$
then,
$$\;\;5*8=\;?\qquad\qquad$$
Not sure about any mathematic operation but can find this pattern(could be wrong!):
$2∗6 = 7$;
$4∗2 = 72$; 7 from RHS of 1st row and 2 1st number in 1st row.
$7∗3 = 144$; 7*2 from RHS of 2nd row(multiply) and 4 1st number in 2nd row.
So,
$5∗8 = 167$; $1*4*4$ from RHS of 3rd row and 7 1st number in 3rd row.
edit: just noticed i mistaken 7 with 17, so corrected;)
I found the same pattern as @Preet, but had a different result:
$2 * 6 = 7 \Rightarrow 7 $; initial statement
$4 * 2 = 72 \Rightarrow 7$ ~ $2 $; product of previous result (just 7) & first row (2)
$7 * 3 = 144 \Rightarrow 14$ ~ $4 $; product of previous result $(7*2 = 14)$ and first row (4)
$5 * 8 = 567 \Rightarrow 56$ ~ $7 $; product of previous result $(14*4 = 56)$ and first row (7)
So the answer might be
$567.$
Strip out the symbols and multiply by 16 to find the next row
2*6=7 => 267 * 16 = 4272
4*2=72 => 4272 * 16 = 73144
7*3=144 => 73144 * 16 = 581704
therefore: 5*8=1704