Chapter 4.6, Problem 39E

To determine

To find the product of $b^{-5}·b^{-9}$ using positive exponents.

Answer to Problem 39E

  $\frac{1}{b^{14}}$

Explanation of Solution

Given information: $b^{-5}·b^{-9}$

Formula used:The product of powers rule.

Calculation:

  $b^{-5}·b^{-9}$

  $=b^{-5-9}$ Using product of powers

  $=b^{-14}$

  $=\frac{1}{b^{14}}$ This has the positive exponents