Chapter 4, Problem 33CR

To determine

To find the product ${10}^4\times {10}^4$

Answer to Problem 33CR

  ${\left(10\right)}^8$

Explanation of Solution

Given information:

Expression ${10}^4\times {10}^4$

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 “10” is same. So, the powers of 10 will be added.

  ${10}^4\times {10}^4$

On applying the rule, get-

  $={\left(10\right)}^{\left(4+4\right)}$

Hence,

  $={\left(10\right)}^8$

Conclusion-

  $={\left(10\right)}^8$