Chapter 4.5, Problem 62E

To determine

To simplify $\frac{15x^6}{-3x^2}$

Answer to Problem 62E

  $-5x^4$

Explanation of Solution

Given information: Simplify $\frac{15x^6}{-3x^2}$

This answer shall be derived using the product of powers rule, wherein the exponents of a common base can be added during multiplication and subtracted during division.

Calculation:

Given, $\frac{15x^6}{-3x^2}$

  $=\frac{3\times 5x^{6-2}}{-3}$ Here, the product on powers for ‘x’ are applicable

  $=-5x^4$ , dividing a positive number with a negative number, would give a negative.

  $=-5x^4$ This is the simplified expression