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

1 Answer
Aug 1, 2018

Answer:

#1.504*10^10#

Explanation:

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!