Chapter 4, Problem 40CR

To determine

To write the expression only using positive exponents $7c^{-3}$

Answer to Problem 40CR

  $7{\left(\frac{1}{c}\right)}^3$

Explanation of Solution

Given information:

Number $7c^{-3}$

Formula Used: Negative Exponent Rule

Calculation:

The Negative Exponent Rule says that when the exponents are negative, the numerator gets moved to the denominator and makes the exponent positive.

In the number $7c^{-3}$ , the negative exponent is associated only with ‘c’ and not 7. So, the steps will be as follows-

  $=7\times {\left(c\right)}^{-3}$

  $=7\times {\left(\frac{c}{1}\right)}^{-3}$

Now, applying the negative exponent rule here. The numerator is c & denominator is 1. It will now change the numerator to 1 & denominator to c, and the exponent will become positive.

  $=7{\left(\frac{1}{c}\right)}^3$

Conclusion-

  $7{\left(\frac{1}{c}\right)}^3$