How do you write the answer in scientific notation given #(6.1times10^5)(2.2times10^6)?

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Answer 1 · 2017-06-15T17:29:51

$1.342 \times 10^{12}$ $1.342xx10^12$

$(6.1 \times 10^{5}) (2.2 \times 10^{6})$ $(6.1xx10^5)(2.2xx10^6)$

First, rewrite it so like terms are next to each other.

$6.1 \times 2.2 \times 10^{5} \times 10^{6}$ $6.1xx2.2xx10^5xx10^6$

Next, multiply the two numbers

$13.42 \times 10^{5} \times 10^{6}$ $13.42xx10^5xx10^6$

Next, add the exponents base $10$ $10$ units

$13.42 \times 10^{5 + 6}$ $13.42xx10^(5+6)$

$13.42 \times 10^{11}$ $13.42xx10^(11)$

Finally, move the decimal over one to the left and increase the power by one

$1.342 \times 10^{12}$ $1.342xx10^12$