Answer:
[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 44.4[/tex]
Explanation:
Given
[tex](3.7 * 10^{-2}) (1.2 * 10^3)[/tex]
Required
Evaluate
[tex](3.7 * 10^{-2}) (1.2 * 10^3)[/tex]
Remove bracket
[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 3.7 * 10^{-2}*1.2 * 10^3[/tex]
Rewrite as:
[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 3.7 *1.2* 10^{-2} * 10^3[/tex]
[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 4.44* 10^{-2} * 10^3[/tex]
Apply law of indices
[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 4.44* 10^{-2+3}[/tex]
[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 4.44* 10^1[/tex]
[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 4.44* 10[/tex]
[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 44.4[/tex]
