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 102
4
1 answer:
Answer: A) is the right answer. 
Step-by-step explanation:
Given product : 
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}](https://tex.z-dn.net/?f=2.3%5Ctimes3%5Ctimes10%5E%7B-3%7D%5Ctimes10%5E8%5C%5C%3D%282.3%5Ctimes3%29%5Ctimes%2810%5E%7B-3%7D%5Ctimes10%5E8%29%5C%5C%3D6.9%5Ctimes10%5E%7B-3%2B8%7D......%5B%5Ctext%7Bby%20law%20of%20exponents%20%7Da%5En%5Ccdot%5C%20a%5Em%3Da%5E%7Bm%2Bn%7D%5D%5C%5C%3D6.9%5Ctimes10%5E%7B5%7D)
Thus, the answer is
.
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