ave your answer in scientific notation. \[ \left(4.6 \times 10^{-5}\right)\left(3.9 \times 10^{-6}\right) \]

Step 1 ：Given the two numbers in scientific notation: \(4.6 \times 10^{-5}\) and \(3.9 \times 10^{-6}\)

Step 2 ：To multiply these numbers, we multiply the coefficients (the numbers before the 'times 10 to the power of' part) and add the exponents.

Step 3 ：The coefficients are 4.6 and 3.9, and the exponents are -5 and -6.

Step 4 ：The multiplication of the coefficients is \(4.6 \times 3.9 = 17.94\)

Step 5 ：The sum of the exponents is \(-5 + -6 = -11\)

Step 6 ：So, the result of the multiplication is approximately \(17.94 \times 10^{-11}\)

Step 7 ：But this is not in proper scientific notation, as the coefficient should be a number between 1 and 10.

Step 8 ：To convert it into proper scientific notation, we move the decimal point in the coefficient one place to the left, and increase the exponent by 1.

Step 9 ：So, the final result in proper scientific notation is \(1.794 \times 10^{-10}\)

Step 10 ：Final Answer: \(\boxed{1.794 \times 10^{-10}}\)