Ona💘💘💋💞, let's tackle these exponent and square root problems.

$$3^4 = 81$$ $$8^4 = 4096$$

The result is $\boxed*{\frac{81}{4096}*}$.

b) $\left(\frac{4}{9}\right)^5$

$$4^5 = 1024$$ $$9^5 = 59049$$

The result is $\boxed*{\frac{1024}{59049}*}$.

c) $\left(\frac{7}{10}\right)^3$

$$7^3 = 343$$ $$10^3 = 1000$$

The result is $\boxed*{\frac{343}{1000}*}$.

d) $\left(\frac{6}{8}\right)^2$

$$3^2 = 9$$ $$4^2 = 16$$

The result is $\boxed*{\frac{9}{16}*}$.

e) $\left(\frac{9}{13}\right)^3$

$$9^3 = 729$$ $$13^3 = 2197$$

The result is $\boxed*{\frac{729}{2197}*}$.

f) $\left(\frac{2}{14}\right)^4$

$$1^4 = 1$$ $$7^4 = 2401$$

The result is $\boxed*{\frac{1}{2401}*}$.

Calculate.

a) $\sqrt{\frac{16}{36}}$

$$\sqrt{16} = 4$$ $$\sqrt{36} = 6$$

$$\frac{4}{6} = \frac{2}{3}$$

The result is $\boxed*{\frac{2}{3}*}$.

b) $\sqrt{\frac{25}{169}}$

$$\sqrt{25} = 5$$ $$\sqrt{169} = 13$$

The result is $\boxed*{\frac{5}{13}*}$.

c) $\sqrt{\frac{9}{81}}$

$$\sqrt{9} = 3$$ $$\sqrt{81} = 9$$

$$\frac{3}{9} = \frac{1}{3}$$

The result is $\boxed*{\frac{1}{3}*}$.

d) $\sqrt{\frac{9}{25}}$

$$\sqrt{9} = 3$$ $$\sqrt{25} = 5$$

The result is $\boxed*{\frac{3}{5}*}$.

e) $\sqrt{\frac{9}{49}}$

$$\sqrt{9} = 3$$ $$\sqrt{49} = 7$$

The result is $\boxed*{\frac