Chapter 4.7, Problem 45E

To determine

To obtain the product of $\left(6\times {10}^7\right)\left(9\times {10}^5\right)$ and writing it in scientific notation.

Answer to Problem 45E

  $5.4\times {10}^{13}$

Explanation of Solution

Given information: $\left(6\times {10}^7\right)\left(9\times {10}^5\right)$

Formula used: the product of powers rule.

Calculation:

  $\left(6\times {10}^7\right)\left(9\times {10}^5\right)$

This can be written as

  $=6\times 9\times {10}^{7+5}$

Using product of powers

  $=54\times {10}^{12}$

Changing this to scientific notation.

  $5.4\times {10}^{13}$

This is the product in scientific notation.