Chapter 4, Problem 11CR

To determine

To factor the monomial $72w^{6}z$

Answer to Problem 11CR

  $3\times 3\times 2\times 2\times 2\times w\times w\times w\times w\times w\times w\times z$

Explanation of Solution

Given information:

Expression $72w^{6}z$

Calculation:

To factor an expression, simply break it down into its smallest constituents. So, here,

72 may be written as $3\times 3\times 2\times 2\times 2$

  $w^6$ may be written as $w\times w\times w\times w\times w\times w$

  $z$ may be written as $z$

So the entire monomial will be written as-

  $72w^{6}z=3\times 3\times 2\times 2\times 2\times w\times w\times w\times w\times w\times w\times z$

Conclusion-

  $3\times 3\times 2\times 2\times 2\times w\times w\times w\times w\times w\times w\times z$