Question

multiply. write your answer in scientific notation.
$(4 \times 10^{-5})(5 \times 10^{-3})$

Explanation:

Step1: Multiply the coefficients

$4 \times 5 = 20$

Step2: Multiply the powers of 10

$10^{-5} \times 10^{-3} = 10^{-5 + (-3)} = 10^{-8}$

Step3: Combine results and adjust

$20 \times 10^{-8} = 2 \times 10^{1} \times 10^{-8} = 2 \times 10^{-7}$

Answer:

$2 \times 10^{-7}$