Question

multiplying and dividing with scientific notation
multiplying with scientific notation
to multiply values in scientific notation, rearrange the multiplication problem and apply the properties of exponents.
(4.5 x 10^5)(2 x 10^3)
(____)(____)

Explanation:

Step1: Rearrange factors

$(4.5\times2)\times(10^{5}\times10^{3})$

Step2: Multiply coefficients

$4.5\times2 = 9$

Step3: Use exponent - product rule

According to the rule $a^{m}\times a^{n}=a^{m + n}$, for $a = 10$, $m = 5$, and $n = 3$, we have $10^{5}\times10^{3}=10^{5 + 3}=10^{8}$

Step4: Combine results

$9\times10^{8}$

Answer:

$9\times10^{8}$