What is the Answer? (4 x 10 ^ 23 ) x ( 3 x 10 ^ -14 )

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Answer 1 · 2018-02-20T22:27:21

See a solution process below:

We can rewrite this expression as:

#(4 xx 3) xx (10^23 xx 10^-14)#

#=> 12 xx (10^23 xx 10^-14)#

We can now use this rule of exponents to multiply the 10s terms and complete the multiplication:

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

#12 xx (10^color(red)(23) xx 10^color(blue)(-14))#

#=> 12 xx 10^(color(red)(23) + color(blue)(-14))#

#=> 12 xx 10^(color(red)(23) - color(blue)(14))#

#=> 12 xx 10^9#

We can convert this to proper scientific notation as:

#12 xx 10^9 => 1.2 xx 10^10#