exam Maths Puzzle Numerical Ability

In the number 7^1000, what is the digit in the units place?

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exam Other Question

2*sqrt{3y^3} + y*sqrt{27y} - 2y*sqrt{3} write an equation for the ellipse that satisfies each set of conditions.
endpoints of major axis at (-9,0) and (9,0), endpoints of minor axis at (0,3) and (0,-3).

I got x2/9+y2/81=1 is this right?