CPM CUA 5 Retake

Exponential notation is a way of expressing numbers using a base and an exponent, where the exponent indicates how many times the base is multiplied by itself.

The product of powers property states that when multiplying two expressions with the same base, you add the exponents: $$a^m \times a^n = a^{m+n}$$ .

The power of a power property states that when raising a power to another power, you multiply the exponents: $$(a^m)^n = a^{m \times n}$$ .

$$\frac{12^4}{3^2m^{16}n^{12}}$$ .

$$m^4n^6$$ .

$$a^{10}b^{13}$$ .

The quotient of powers property states that when dividing two expressions with the same base, you subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ .

$$m^{3}n^{6}$$ .

The zero exponent rule states that any non-zero base raised to the power of zero equals one: $$a^0 = 1$$ .

The negative exponent rule states that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: $$a^{-n} = \frac{1}{a^n}$$ .