How do you evaluate #(1.2times10^3)(1.45times10^12)#?

1 Answer
seol
Dec 6, 2016

#\color(green)(1.74\times10^(15)#

Explanation:

identify like terms: #1.2\times\color(red)(10^3)•1.45times\color(red)(10^(12))#
rearrange: #(1.2\times1.45)(\color(red)(10^3\times10^(12)))#
exponential terms with same base; add the exponents: #(1.2\times1.45)(10^(3+12))#
simplify all multiplications: #(1.74)(10^(15))\rightarrow1.74\times10^(15)#

therefore #(1.2\times10^3)(1.45\times10^(12))=\color(seagreen)(1.74\times10^(15))#

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