Question

what is the product of 41 and $4.4 \times 10^5$ expressed in scientific notation?
answer

Explanation:

Step1: Multiply the non-exponential terms

$41 \times 4.4 = 180.4$

Step2: Combine with the exponential term

$180.4 \times 10^5$

Step3: Convert to proper scientific notation

Adjust the coefficient to be between 1 and 10: $1.804 \times 10^2 \times 10^5$
Add the exponents: $1.804 \times 10^{2+5} = 1.804 \times 10^7$

Answer:

$1.804 \times 10^7$