Chapter 9, Problem 10PT

To determine

To calculate:To find product or quotient and express using exponents for the below expression:

  $k\cdot k^5$

Answer to Problem 10PT

The product of the expression $k\cdot k^5$ is $k^6$ .

Explanation of Solution

Given information:

Given expression is $k\cdot k^5$

Formula Used:

Product rule of the exponent states that “when multiplying two powers that have the same base, exponents can be added”:

  $a^m\times a^n=a^{m+n}$

Calculation:

Given expression is $k\cdot k^5$

Using the above explanation for the Product rule of the exponent, we have:

  $k\cdot k^5=k^{1+5}$

Solving the above equation, we have:

  $k\cdot k^5=k^6$

Thus, the product of the expression $k\cdot k^5$ is $k^6$ .

Conclusion:

The product of the expression $k\cdot k^5$ is $k^6$ .