Question: (\[ (3.585 \times 10^{-9}) (2.584 \times 10^{3}) = \boxed{\phantom{0}} \]\)…

\(\[ (3.585 \times 10^{-9}) (2.584 \times 10^{3}) = \boxed{\phantom{0}} \]\)

Solution

To solve the expression \[ (3.585 \times 10^{-9}) (2.584 \times 10^{3}) \] we follow these steps: First, multiply the coefficients: \[ 3.585 \times 2.584 = 9.26564 \] Next, add the exponents of 10: \[ 10^{-9} \times 10^{3} = 10^{-6} \] Combine both parts: \[ 9.26564 \times 10^{-6} \] The final answer is: \[ 9.26564 \times 10^{-6} \]