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Question 192723:  One common use of positive and negative exponents is in writing numbers as scientific notation. For example 0.000052 can be written as 5.2 × 10-5. A) Use scientific notation and the laws of exponents to evaluate (0.000048)(0.0000035)(0.00014). Leave your answer in scientific notation. B) If a space probe travels at 100 kilometers per second for 12 years, how far will it travel? Write your answer in scientific notation. (Assume 1 year = 365 days)
 
Scientific Notation: A number is expressed in scientific notation when it is in the form 
 a × 10n 
 where a is greater than or equal to 1 but less than 10 and n is an integer. 
 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website!  A) Use scientific notation and the laws of exponents to evaluate (0.000048)(0.0000035)(0.00014). Leave your answer in scientific notation.  
(4.8x10^-5)(3.5x10^-6)(1.4x10^-4) = 2.352x10^-14 
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B) If a space probe travels at 100 kilometers per second for 12 years, how far will it travel? Write your answer in scientific notation. (Assume 1 year = 365 days)  
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seconds in 12 years: 12*365*24*60*60 = 3.784x10^8 
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distance covered at 100 km per sec. = 3.784x10^10 
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Cheers, 
Stan H.  
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