Multiply the following and express your answer in appropriate scientific notation: \[ \left(7.2 \times 10^{-44}\right) \times\left(9.4 \times 10^{27}\right) \] 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: \(adjusted\_coeff = 6.768\) and \(adjusted\_exp = -16\).

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