Properties of Exponents

What is the property of exponents that states any non-zero number raised to the power of zero equals one?

Simplify the expression: (a^m)(a^n)

What is the property of exponents that states when you divide two powers with the same base, you subtract the exponents?

Simplify the expression: (a^m)^n

What is the property of exponents that states when you multiply two powers with the same base, you add the exponents?

Simplify the expression: $$\frac{12x^9y^4z^2}{24x^3y^4z^6}$$

What is the value of any non-zero number raised to the power of one?

Simplify the expression: (5^3x^2y^4)^0

What is the property of exponents that states when you raise a product to a power, you raise each factor to that power?

Simplify the expression: (2a^2b^4z)(6a^3b^2z^5)