Integer Exponents and Scientific Notation: example 10.73

Simplify: $\frac{r^{5}}{r^{−4}} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

Use the Quotient Property, $\frac{a^{m}}{a^{n}} = a^{m - n}$ .

Simplify.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Simplify: $\frac{x^{8}}{x^{−3}} .$

How did it go?


Use the Quotient Property, $\frac{a^{m}}{a^{n}} = a^{m - n}$ .

Simplify.