Laws of exponents w/ rational exponents

Which is the simplified form of

$$xy^6z^3\cdot x^2yz^5$$ ​ ​ (a)  

What is the simplified exponential form of

$$\frac{2x^5}{6x^{\frac{5}{2}}}$$

Match the following

Reorder the following from lowest power to highest power when in simplest form.

Reorder the following from lowest power to highest power when in simplest form.

What is $$\left(x^{\frac{5}{2}}y^{\frac{2}{3}}\right)\left(x^{\frac{-1}{2}}y^2\right)^{\frac{3}{4}}$$

in simplest exponential form?

What is $$\left(\frac{x^2y^{-3}}{x^{\frac{9}{2}}y^{\frac{5}{3}}}\right)^{-3}$$

in simplest exponential form?

What is $$\left(\frac{x^0y^{\frac{3}{5}}}{x^{\frac{1}{3}}y^8}\right)^{-1}\left(x^6y^{\frac{8}{3}}\right)$$ in simplest exponential form?

​ ​ (a)  

What is $$\left(\frac{x^{\frac{5}{8}}y^2z^{\frac{-1}{3}}}{xy^{\frac{-5}{12}}z^6}\right)^0$$

in simplest exponential form?

(a)  

True or false?

$$5x^{-6}$$ is the same as $$\left(5x\right)^{-6}$$ .

​ (a)