How do you simplify #\frac { 4\times 10^ { 9} } { 8\times 10^ { 4} }#?

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Answer 1 · 2017-04-10T00:48:07

#10^5/2# or #50,000#

Let's simplify the exponents first:

#(4*10^9)/(8*10^4)#

When the bases are equal and they are dividing, we subtract the exponents

#(4*10^5)/(8)#

#4/8# can be simplified to #1/2#

#10^5/2#

If we want to simplify further we can expand the problem to be #(100, 000)/2#, which is #50,000#