Chapter 4.6, Problem 59E

To determine

To find the quotient of $\frac{x^{2}y}{x^{10}{y}^7}$ using positive exponents.

Answer to Problem 59E

  $\frac{1}{x^8{y}^6}$

Explanation of Solution

Given information: $\frac{x^{2}y}{x^{10}{y}^7}$

Formula used:The product of powers rule.

Calculation:

  $\frac{x^{2}y}{x^{10}{y}^7}$

Using product of powers. Since ‘x’ and ‘y’ have higher exponents on the denominator, divide the lower exponents with them

  $=\frac{1}{x^{10-2}{y}^{7-1}}$ .

Hence the result is

  $=\frac{1}{x^8{y}^6}$ This has the positive exponents.