Chapter 4, Problem 18CT

To determine

To write the fraction in simplest form ${13}^6\times {13}^4$

Answer to Problem 18CT

  ${13}^{10}$

Explanation of Solution

Given information:

Expression ${13}^6\times {13}^4$

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 13. On applying the Product Rule, get-

  ${13}^6\times {13}^4={13}^{6+4}$

This will give us-

  $={13}^{10}$

Hence,

  $={13}^{10}$

Conclusion-

  $={13}^{10}$