How do I calculate negative powers?

The power of a number indicates how many times that number must be multiplied by itself. If the power is a negative, this means that the number (or the base) is a fraction, with the base as a denominator. For example, 10-1 = 1/10. For more difficult numbers, e.g. 8-5, this is the same as saying 1/85, or 1/40.

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What about simultaneous equations?


Find the minimum value of the quadratic equation: y = x^2 + 4x - 12


The point P has coordinates (4, 5). The point Q has coordinates (a, b). A line perpendicular to PQ is given by the equation 5x+3y=11. Find an expression for b in terms of a.


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