Question 209387
(4.0 * 10^-3)(3.0 * 10^-8)(2.0 * 10^4)


Let's 1st multiply the decimals:

4.0 * 3.0 * 2.0 = 24, or, 2.4 x {{{10^1}}}


Now let's multiply the base-10 powers: {{{(10^-3)*(10^-8)*(10^4)}}}. Since these expressions have the same base, then using the law of exponents, we just add their exponenets. Therefore, we get: {{{10^(-3+-8+4)}}} = {{{(10^-7)}}}


We now have   2.4 x {{{10^1}}} x {{{10^-7}}} 


Once again, we add the exponents with the same base of 10 to get {{{highlight_green(2.4)}}} x {{{highlight_green(10^-6)}}}