Exponent Laws

$$x^5$$ (Add the exponents: 2 + 3 = 5)

$$3x$$ (Divide coefficients and subtract exponents of x)

$$20x^9$$ (Multiply coefficients and add exponents: 4 + 5 = 9)

$$\frac{1}{8p^9}$$ (Apply the negative exponent rule and simplify)

$$10n^2$$ (Multiply coefficients and add exponents: -4 + 6 = 2)

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

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

A negative exponent indicates the reciprocal: $$a^{-n} = \frac{1}{a^n}$$ .

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

$$1$$ (Any non-zero number raised to the power of zero is one.)