How do you write #(6 times 10^2) * (2.3 times 10^4) # in standard from?

1 Answer
Jul 16, 2018

#13,800,000#

Explanation:

Since we are multiplying, we can group our terms in any order:

We can rewrite this as

#color(steelblue)(6*2.3)*color(purple)(10^2*10^4)#

With the exponents, since we have the same bases, we add the powers to get

#13.8*10^6#

Since our exponent is #6#, we loop the decimal #6# times to the right to get

#13,800,000#

Hope this helps!