Exponent Rules 3 - Quotient and Zero Exponent Rules Basics

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

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

$$\frac{a^5}{a^3} = a^{5-3} = a^2$$ .

$$7^{-5} = \frac{1}{7^5}$$ .

$$0^0$$ is considered an indeterminate form in mathematics.

Any expression raised to the power of zero equals 1: $$(5^3 x^2 y^4)^0 = 1$$ .

$$\frac{c^7}{c^7} = c^{7-7} = c^0 = 1$$ .

Using the Quotient Rule: $$\frac{a^8 b^{13}}{a^6 b^5} = a^{8-6} b^{13-5} = a^2 b^8$$ .

It is the reciprocal of $$c^7$$ .

$$k = m - n$$ .