## Introductory Algebra for College Students (7th Edition)

$$\frac{1}{x^6}$$
We use the quotient rule for exponents to evaluate this expression. The quotient rule for exponents states that when we divide two powers that have the same base, then we can simply subtract the powers, keeping the same base: $$x^{3 - 9}$$ Simplifying, we get: $$x^{-6}$$ Expressing the negative exponent as a positive exponent, we get: $$\frac{1}{x^6}$$