Exponent Rules

$$\frac{1}{27}$$

$$\frac{1}{32}$$

$$64$$

A negative exponent indicates that the base should be taken as the reciprocal raised to the opposite positive exponent.

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

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

Any non-zero number raised to the power of zero is 1: $$5^0 = 1$$ .

$$-8$$ , because multiplying -2 by itself three times results in -8.

$$2^3 = 8$$ , because the negative exponent indicates a reciprocal.

$$\frac{1}{100}$$ , because a negative exponent indicates a reciprocal.