The Algebra Report is silent on the teaching of indices. The writer has found that some graphical illustration on the lines (probably well known) suggested below gives the work more meaning for boys of various degrees of ability

The first step is to plot the values of 2x, 1·5x, 1·2x, 1x, and 0·5x for the values x = 1, 2 and 3, and, assuming that we may, to join up the sets of points by smooth curves. This, of course, is done rather tentatively, as three points do not give much definition to a curve, but the values of all except 2x when x = 4 can be added and make the curves more definite. To include 24 makes the scale of the graph undesirably small.