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This is a nice little question off the 2018 Edexcel Higher Maths paper! When we heard the word 'prove' in a question at this level, automatically we should be thinking about using algebra to help us out! ...

x=1, y=2
x=-2/5, y=-11/5

1. 36^1/2
   = 6(The square root of 36 is 6)
   2) 23⁰
   = 1(Anything to the power of 0 is 1)
   3) 27^-2/3
   = 3^-2 = 1/3²= 1/9
...

Use Pythagoras' theorem. a² + b² = c². The longest side of the triangle is the hypotenuse, and it is the side opposite the right angle. We use the length of this side as '...

The easiest way is probably to write a table with all of the X and Y values. Write out all of the x values and substitute them into the formula to see what value of Y you need to get the value of 3.X Y-3 ...