How do you evaluate #(5.7\times 10^ { 4} ) ( 3.1\times 10^ { 6} )#?

1 Answer
Oct 15, 2017

#1.767xx10^11#

Explanation:

  • Open the brackets.
    #=5.7xx3.1xx10^4xx10^6#

  • Evaluate #10^4xx10^6# using the property #a^b+a^c=a^(b+c)#
    #=5.7xx3.1xx10^(4+6)#
    #=5.7xx3.1xx10^10#

  • Multiply the others
    #5.7xx3.1xx10^10#
    #=17.67xx10^10#
    #=1.767xx10^11#