Chapter 4, Problem 19CT

To determine

To write the fraction in simplest form $4m^7\times 5m^6$

Answer to Problem 19CT

  $20m^{13}$

Explanation of Solution

Given information:

Expression $4m^7\times 5m^6$

Formula Used: Product rule with same base

Calculation:

The Product Rule with same base says that when the bases are same and in multiplication, the exponent powers are added. In the given expression, have the base as m.

4 and 5 will multiply themselves to give us 20 and on applying the Product Rule, get-

  $4m^7\times 5m^6=4\times 5\times m^{6+7}$

This will give us-

  $4\times 5\times m^{6+7}=20m^{13}$

Hence,

  $=20m^{13}$

Conclusion-

  $=20m^{13}$