How do you evaluate #1.5\times 10^ { 6} \times 2.7\times 10^ { 5}#?

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Answer 1 · 2017-11-22T02:01:04

See a solution process below:

First, rewrite the expression as:

#(1.5 xx 2.7) xx (10^6 xx 10^5) =>#

#4.05 xx (10^6 xx 10^5)#

Next, use this rule for exponents to multiply the 10s terms:

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

#4.05 xx (10^color(red)(6) xx 10^color(blue)(5)) =>#

#4.05 xx 10^(color(red)(6) + color(blue)(5)) =>#

#4.05 xx 10^11#

If you need to write this as a number we can move the decimal point 11 places to the right giving:

#405,000,000,000#