Chapter 4, Problem 31CR

To determine

To find the product ${\left(0.3\right)}^5\times {\left(0.3\right)}^7$

Answer to Problem 31CR

  ${\left(0.3\right)}^{12}$

Explanation of Solution

Given information:

Expression ${\left(0.3\right)}^5\times {\left(0.3\right)}^7$

Formula Used: Product rule with same base

Calculation:

The Product Rule with same base says that when the bases are same, the exponent powers are added. In the given expression, the base “0.3” is same. So, the powers of 0.3 will be added.

  ${\left(0.3\right)}^5\times {\left(0.3\right)}^7$

On applying the rule, get-

  $={\left(0.3\right)}^{5+7}$

Hence,

  $={\left(0.3\right)}^{12}$

Conclusion-

  $={\left(0.3\right)}^{12}$