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Simplify fully (x^2*x^3)/x^4

This question requires knowledge of the rules of indices. The first rule we need to use is that when multiplying indices with the same base (which in this case is x), the indices are added. Therefore the exp...
FW
Answered by Florence W. • Maths tutor
7349 Views

Solve the simultaneous equations '2X+Y=7' and '3X-Y=8'

In order to solve this question we need to remove one variable, either X or Y. Let us remove X in this case. The coefficents of X are 2 and 3. Their lowest common multiplte is 6. We can therefore get both va...
AP
Answered by Arjan P. • Maths tutor
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What is the simplest form of the fraction (8a^2+10ab)/(12a+15b)?

These kinds of questions often come up in GCSE papers and involve algebraic manipulation. The key to answering these questions is finding a common factor in the numerator and denominator that can be cancelle...
SK
Answered by Samradnyee K. • Maths tutor
8755 Views

Solve the following simultaneous equations to find the values of x and y: 3y - 7x = 15 & 2y = 4x + 12

Equation one: 3y - 7x = 15 - Double it and re arrange 3y - 7x = 15 goes to 3y = 7x + 15 goes to 6y = 14x + 30 we name this equation 3 Equation two: 2y = 4x +12 - Triple it. so..6y = 12x + 36 we name this equ...
IP
Answered by Imogen P. • Maths tutor
4689 Views

Write down the value of (125)^2/3

When you see a fraction as the power like this you want to try to simplify it to things that you can do (like power of 1/2 or 2). 125 is one of the key numbers to remember when preparing for your GCSEs becua...
AJ
Answered by Alice J. • Maths tutor
8635 Views