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We know from our rule of indices that raising a power to a power can be simplified by multiplying so (5³)³ = 5⁹ we also know that when dividing indices we can use the subt...

The easiest way to find the point of intersection between two lines is to use simultaneous equations. Begin by setting y=y or x=x. In this case we will be setting y=y, in order to do this you must manipul...

Start by converting these mixed numbers into top-heavy fractions: 3 and 1/2 becomes 7/2 (3x2=6; 6+1=7)2 and 4/5 becomes 14/5 (2x5=10; 10+4=14)Then use the 'KFC' formula - 'Keep it, flip it, calculate it':...

So you have the following: ((1/3)(c^2))^3 which can be rewritten as:((1/3)(c^2))x((1/3)(c^2))x((1/3)(c^2)) at which point it becomes easier to simplify:= (1/3)x(1/3)x(1/3)xc^(2+2+2)= (1/27)c^6

A singular matrix is one which has a determinant of zero. This has several important consequences depending on the context in which the matrix is being used: Firstly, it implies that the matrix is not inv...