Chapter 4.6, Problem 34E

To determine

To find the product of ${10}^{-2}·{10}^{-8}$ using positive exponents.

Answer to Problem 34E

  $\frac{1}{{10}^{10}}$

Explanation of Solution

Given information: ${10}^{-2}·{10}^{-8}$

Formula used:The product of powers rule.

Calculation:

  ${10}^{-2}·{10}^{-8}$

Hence it becomes

  $={10}^{-2-8}$ Using product of powers

  $={10}^{-10}$

Hence it becomes

  $=\frac{1}{{10}^{10}}$ This has the positive exponents