Exponent Rules

When multiplying two expressions with the same base, add the exponents: $$a^m \times a^n = a^{m+n}$$ .

When dividing two expressions with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ .

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

Any non-zero base raised to the power of zero equals one: $$a^0 = 1$$ (where a ≠ 0).

A negative exponent indicates the reciprocal: $$a^{-n} = \frac{1}{a^n}$$ (where a ≠ 0).

$$5r^2n^8$$ .

$$20n^{15}$$ .

An exponent indicates how many times to multiply a number by itself. For example, $$a^n$$ means multiply $$a$$ by itself $$n$$ times.

It represents the base $$n$$ raised to the power of $$m$$ , meaning $$n$$ is multiplied by itself $$m$$ times.

$$2^3 = 2 \times 2 \times 2 = 8$$ .