Multiply the following and express your answer in appropriate scientific notation: (4.6 times 10^(-50)) times (1.9 times 10^(5))

Question

I do not how to work this problem!

Answer 1

4.6x10^-50 * 1.9 x10⁵

 

• First, multiply the 4.6 and the 1.9, which gives you 8.74
• Next, multiply 10^-50 * 10⁵ by adding the exponents to get 10^-45
• Put the two parts together for your final answer of 8.74x10^-45
• But please note that you got a bit lucky with this problem, because that first product, 8.74, was in the required 1<x<10 format for scientific notation.  If you get a response that's less than 1 or greater than 10, you have to adjust your answer a bit.