Law of Exponents: Product and Quotient Rule

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

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

Any non-zero number raised to the power of 0 is equal to 1: $$a^0 = 1$$ (where a ≠ 0).

$$x^{3+2} = x^5$$ .

$$x^{5-2} = x^3$$ .

When raising a power to another power, you multiply the exponents: $$(a^m)^n = a^{m \times n}$$ .

$$8^0 = 1$$ .

False. The correct statement is $$x^0 = 1$$ for any non-zero x.

$$3x^{2+2} = 3x^4$$ .

$$a^3 = 2^3 = 8$$ .