How do you multiply #(2.05times10^8)times(3.2times10^14)#?

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Answer 1 · 2016-12-12T23:41:14

#6.56 xx 10^22#

First, we need to redistribute the terms:

#(2.05 xx 3.2) xx (10^8 xx 10^14)#

We can can just multiply the term on the left:

#6.56 xx (10^8 xx 10^14)#

The rule for multiplying like terms with exponents is:

#color(red)(x^a xx x^b = x^(a+b))#

Applying this to the term in parenthesis on the right gives:

#6.56 xx 10^(8+14)#

#6.56 xx 10^22#