$$\frac{3a^5}{b^3}$$  

$$\frac{9b^4}{a^6}$$  

$$9a^2b^4$$  

$$\frac{9a^2}{b^2}$$   

$$x^{\left(n-m\right)}=\frac{x^m}{x^n}$$

$$x^m\cdot y^n=\left(xy\right)^{mn}$$

$$x^m+x^n=x^{\left(m+n\right)}$$

$$\left(\frac{x}{y}\right)^m=x^m\cdot y^{-m}$$

$$2\left(\sqrt{5}+\sqrt{3}\right)$$  

$$2\left(\sqrt{5}-\sqrt{3}\right)$$  

$$\left(\sqrt{5}+\sqrt{3}\right)$$  

$$\left(\sqrt{5}-\sqrt{3}\right)$$  

$$y=\left(\frac{5}{3}\right)^x$$  

$$y=\left(\frac{2}{3}\right)^x$$  

$$y=2^x$$  

$$y=\left(\sqrt[]{3}\right)^x$$  

$$y=\left(\frac{3}{5}\right)^{-x}$$  

$$y=\left(\frac{1}{3}\right)^x$$  

$$y=4^{-x}$$  

$$y=\left(\sqrt[]{2}\right)^{-x}$$  

2

4

6

8

1/2

4/3

2

4

5² = 32

2⁵ = 32

32² = 5

2³² = 5

log₃4 = 81

log₈₁3 = 4

log₃81 = 4

log₄81 = 3

1

2

4

5

2

3

4

5

0

-2

-4

-8

2

-2

$$\frac{1}{2}$$  

$$\sqrt[]{2}$$  

1

3

5

8