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The question asks you to calculate 27^-3/2.
Due to the presence of the negative sign, 27^-3/2 is the same as 1/27^3/2.
The fractional power is a little more tricky...

In order to answer this question, we will follow the FOIL procedure. First, Outter, Inner, Last. Using the 'F' we will multiply the first 2 numbers of each bracket. In most cases, these 2 variables will h...

First of all, we must multiply each equation by a suitable number in order to get the same leading coefficient. In simple terms, we must make the coefficient of the x or the y in...

Expand the brackets out first6x-3y=ax-4Now, get all the x's on one side6x-ax=3y-4and now factorise the side with the x's as we want to isolate xx(6-a)=3y-4and now divide both sides by (6-a)x=(3y-4)/(6-a)<...

x = 150.This question requires that the student uses the symmetry of the sine graph. If we draw y = sin(30) on top of y = sin(x), it is clear that a possible value of x is 150.
A harder question coul...