How do you evaluate (1.2times10^3)(1.45times10^12)(1.2×103)(1.45×1012)?

1 Answer
Dec 6, 2016

\color(green)(1.74\times10^(15)1.74×1015

Explanation:

identify like terms: 1.2\times\color(red)(10^3)•1.45times\color(red)(10^(12))1.2×1031.45×1012
rearrange: (1.2\times1.45)(\color(red)(10^3\times10^(12)))(1.2×1.45)(103×1012)
exponential terms with same base; add the exponents: (1.2\times1.45)(10^(3+12))(1.2×1.45)(103+12)
simplify all multiplications: (1.74)(10^(15))\rightarrow1.74\times10^(15)(1.74)(1015)1.74×1015

therefore (1.2\times10^3)(1.45\times10^(12))=\color(seagreen)(1.74\times10^(15))(1.2×103)(1.45×1012)=1.74×1015