Properties of Exponents

What is the property of exponents that states $$a^m \cdot a^n = a^{m+n}$$ ?

What is the property of exponents that states $$\frac{a^m}{a^n} = a^{m-n}$$ ?

What is the property of exponents that states $$(a^m)^n = a^{m \cdot n}$$ ?

What is the property of exponents that states $$a^{-n} = \frac{1}{a^n}$$ ?

What is the value of $$x^0$$ for any non-zero number x?

Simplify $$\frac{6x^0}{2y^{-1}}$$ .

Simplify $$3^4 \cdot 3^7$$ .

Evaluate and simplify $$\left(6b^4c^2\right)^2$$ .

Simplify $$6^3 \cdot 6^{-7}$$ .

Simplify $$\left(8^5\right)^3$$ .