how do you multiply two scientific notation values? explain the steps you would take to find the product of…

Explanation:

Step1: Multiply the coefficients

$6.7\times3.2 = 21.44$

Step2: Multiply the powers of 10

$10^{6}\times10^{5}=10^{6 + 5}=10^{11}$

Step3: Combine the results

$21.44\times10^{11}$

Step4: Adjust to scientific - notation

Since $21.44>10$, we rewrite $21.44$ as $2.144\times10^{1}$. Then $21.44\times10^{11}=(2.144\times10^{1})\times10^{11}=2.144\times10^{1 + 11}=2.144\times10^{12}$

Answer:

To multiply two scientific - notation values $a\times10^{m}$ and $b\times10^{n}$, first multiply the coefficients $a$ and $b$, then multiply the powers of 10 using the rule $10^{m}\times10^{n}=10^{m + n}$, and finally adjust the result to scientific notation if necessary. The product of $6.7\times10^{6}$ and $3.2\times10^{5}$ is $2.144\times10^{12}$.