How do you simplify #(3.2 times 10^5)(4.7 times 10^4)#?

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Answer 1 · 2018-08-01T02:52:27

#1.504*10^10#

We can essentially multiply the corresponding parts. We can rewrite this as

#color(steelblue)(3.2*4.7)*color(purple)(10^5*10^4)#

Since we have two base-#10# terms, we can add the exponents. Thus, this simplifies to

#color(steelblue)(15.04)*color(purple)(10^9)#

To get this in the more traditional scientific notation, we can loop the decimal once to the left. This increases the exponent by #1#.

We now have

#1.504*10^10#

Hope this helps!