Chapter 9, Problem 11SGR

To determine

To calculate:To write below expression using exponents:

  $6\cdot 6\cdot 6\cdot 6\cdot 6$

Answer to Problem 11SGR

The exponent form of the expression $6\cdot 6\cdot 6\cdot 6\cdot 6$ is $6^5$ .

Explanation of Solution

Given information:

Given expression is $6\cdot 6\cdot 6\cdot 6\cdot 6$

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 $6\cdot 6\cdot 6\cdot 6\cdot 6$

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

  $6\cdot 6\cdot 6\cdot 6\cdot 6=6^{1+1+1+1+1}$

Solving the above equation, we have:

  $6\cdot 6\cdot 6\cdot 6\cdot 6=6^5$

Thus, the exponent formof the expression $6\cdot 6\cdot 6\cdot 6\cdot 6$ is $6^5$ .

Conclusion:

The exponent form of the expression $6\cdot 6\cdot 6\cdot 6\cdot 6$ is $6^5$ .