I don't get it.
Anyone got a simple calculation way for a 15 year old?
A 15 year old probably already know simple dvision like 132/3, and I don't think a 15 year old will learn matrices and diff equation. I am gussing it's somthing like xy^2z/yz^2?
y^2 is y squared and y^3 is y cubed. y^2 = y*y and y^3 = y*y*y,
so for example, what is y^3/y^2?
y^3/y^2 = y*y*y/y*y,
then you see 2 of the y in the denumerator cancels with 2 of the y in the numerator, so the answer is
y^3/y^2 = y^(3-2)=y (basically, just the exponent of y in the numerator minus exponent of y in denumerator)
Other examples,
y^5/y^2 = y^(5-2)=y^3
y^2/y^4 = y^(2-4)=y^(-2)
More complicated examples:
xy^2z/x^2yz = x^(1-2)y^(2-1)z^(1-1) = x^(-1)y^(1)z^(0)=y/x
Note: x = x^1, x^0 = 1 and x^(-1) = 1/x