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simplify c^4 x c^3

when multiplying indices you need to add the powers (only if the base number is the same -> need to ensure they are denoted with the same letter) 4 + 3 = 7 therefore the answer is c^7
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Answered by Alice V. • Maths tutor
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Two points P(–4, –1) and Q(–8, 5) are joined by a straight line. Work out the coordinates of the midpoint of the line PQ.

First, you must remember what the midpoint formula is for a line with two points. M= ((x 1​ +x 2​ )/2 ​,(y 1 ​+y 2​​ )/2) Then apply it to this question. M= ((-4+-8)/2 , (-1+5)/2) Simplify and solve. M= ((-1...
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Answered by Ellen T. • Maths tutor
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Work out the value of 5^3-5^2:

The first step would be to consider each of the powers individually, work out their value and then proceed with the subtraction to end up with a result. Firstly, as this question is to be done without a calc...
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Answered by Alexander B. • Maths tutor
13838 Views

Factorise and solve x^2-8x+15=0

Factorise means we want to turn x 2 -8x+15=0 into the form (x+a)(x+b)=0 . We need to find the two whole numbers 'a' and 'b' which equal -8 (from the -8x part) when added together, i.e. a+b=-8 , and equal 15 ...
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Answered by Anokhi C. • Maths tutor
4997 Views

The first four terms of an arithmetic sequence are : 11, 17, 23, 29. In terms of n, find an expression for the nth term of this sequence.

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. We can work this out for the sequence 11, 17, 23, 29. To go from the 1st term (11) to the 2...
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Answered by Aman G. • Maths tutor
19096 Views