Question

Multiply and give the answer in scientific notation: (2.3 x 10-3)(3 x 108) A) 6.9 x 105 B) 6.9 x 1011 C) 6.9 x 10-5 D) 6.9 x 1024

Answer 1

Answer: A) is the right answer. $6.9\times10^{5}$

Step-by-step explanation:

Given product : $2.3\times10^{-3}\times3\times10^8$

To multiply above expression, first we need to combine like terms and then we need to use the law of exponents.

$2.3\times3\times10^{-3}\times10^8\\=(2.3\times3)\times(10^{-3}\times10^8)\\=6.9\times10^{-3+8}......[\text{by law of exponents }a^n\cdot\ a^m=a^{m+n}]\\=6.9\times10^{5}$

Thus, the answer is $6.9\times10^{5}$.