Chapter 4, Problem 41CR

To determine

To write the expression only using positive exponents $15d^{-9}$

Answer to Problem 41CR

  $15{\left(\frac{1}{d}\right)}^9$

Explanation of Solution

Given information:

Number $15d^{-9}$

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 $15d^{-9}$ , the negative exponent is associated only with ‘d’ and not 15. So, the steps will be as follows-

  $=15\times {\left(d\right)}^{-9}$

  $=15\times {\left(\frac{d}{1}\right)}^{-9}$

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

Conclusion-

  $=15{\left(\frac{1}{d}\right)}^9$