Pre Algebra Review

$$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$$

$$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$$

$$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$$

d = $$\sqrt{\left(x\right)^2-\ \left(y\right)^2}$$

0

8

9

7

5

7

9

11

$$\frac{1}{x^{-4}}$$  

$$\frac{1}{x^4}$$  

$$x^4$$  

$$\frac{x}{x^4}$$  

$$x^{21}$$  

$$x^4$$  

$$x^{10}$$  

$$x^{-4}$$  

$$x^2$$  

$$x^{10}$$  

$$\frac{1}{x^2}$$  

$$\frac{1}{x^{10}}$$  

$$-6$$  

$$\frac{1}{-6}$$  

$$\frac{1}{8}$$  

$$8$$  

$$m^8$$  

$$m^{12}$$  

$$m^4$$  

$$m^9$$  

$$x^{14}$$  

$$x^9$$  

$$x^5$$  

$$2x^7$$  

Product Rule

Quotient Rule

Power Rule

Power Rule

Zero Exponent Rule

Negative Exponent Rule

Negative Power Rule

Power Rule

Zero Exponent Rule

Power Rule

Product Rule

Quotient Rule

$$\frac{x^8}{y^{12}}$$  

$$\frac{x^6}{y^7}$$  

$$x^8y^{12}$$  

$$\frac{8}{12}$$  

$$\frac{2}{3}$$  

$$\frac{24}{34}$$

$$\frac{16}{81}$$  

More than 1, less than 10

More than 0, less than 10

More than 1, less than or equal to 10

More than 0, less than or equal to 10

12 x 10³

3 x 10⁹

1.2 x 10¹⁰

3 x 10³

-4.8×10⁷

4.8×10⁷

4.8×10^-7

4.8×10^-23