Question

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

Answer 1

`\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))`