The given expression is
(3.0 x 10^3) x (5.0 x 10^1)
We would multiply the the terms without exponent and then, multiply the exponents
For the terms without exponents,
3.0 * 5.0 = 15.0
For the exponents, we woulld apply the rule which states that
a^b * a^c = a^(b + c)
Therefore,
10^3 * 10^1 = 10^(3 + 1) = 10^4
The product in scientific notation would be
15 * 10^4,