HPC Calc, Circle, Exp Notes

(x - h)²+(y - k)² = r²

(h, k) is the center of the circle, r is the radius.

(x - 5)²+(y + 3)² = 25; Center (5, -3), r = 5

 $d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$  

 $Midpoint\ =\ \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$  

 $x^{12}\cdot x^7=x^{19}$  

 $\frac{x^{15}}{x^9}=x^{15-9}=x^6$  

 $\left(x^4\right)^7=x^{28}$  

 $\left(2xy^2z^3\right)^2=4x^2y^4z^6$  

 $\left(\frac{2}{x}\right)^3=\frac{8}{x^3}$  

 $x^0=1,\ x\ne0$  

 $x^{-2}=\frac{1}{x^2},\ x\ne0$  ;  $x^{\frac{3}{4}}=^4\sqrt{x^3}$