Multiply the following and express your answer in appropriate scientific notation:
$$(7.2\times {10}^{-44})\times (9.4\times {10}^{27})$$
product $=$
Check Answer

Step 1 ：Given the numbers in scientific notation are $7.2\times {10}^{-44}$ and $9.4\times {10}^{27}$.

Step 2 ：The multiplication of two numbers in scientific notation can be done by multiplying the coefficients and adding the exponents.

Step 3 ：In this case, the coefficients are 7.2 and 9.4, and the exponents are -44 and 27.

Step 4 ：Calculate the product of the coefficients and the sum of the exponents: $coeff1\times coeff2=7.2\times 9.4=67.68$ and $exp1+exp2=-44+27=-17$.

Step 5 ：However, the coefficient in scientific notation should be a number between 1 and 10. Therefore, we need to adjust the coefficient and the exponent to fit this format.

Step 6 ：Adjust the coefficient and the exponent: $adjusted\mathrm{\_}coeff=6.768$ and $adjusted\mathrm{\_}exp=-16$.

Step 7 ：Final Answer: The product of the two numbers in scientific notation is $\boxed{{\displaystyle 6.768\times {10}^{-16}}}$.