Can someone help me can you tell me what the scientific notation is?

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asked Jun 21, 2021 77.3k views

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Can someone help me can you tell me what the scientific notation is?

Mathematics
high-school

Mediator asked

by Mediator

8.7k points

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1 Answer

3 votes

Answer:

5.7 * 10^7

Explanation:

$(11.4*\:10^(20))/(2*\:10^(13))\\\\\mathrm{Cancel\:}(11.4*\:10^(20))/(2*\:10^(13)):\quad (10^7* \:11.4)/(2)\\\\\mathrm{Factor}\:10^7:\quad 2^7*\:5^7\\=(2^7*\:5^7*\:11.4)/(2)\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=5^7*\:2^6*\:11.4\\\\5^7=78125\\\\2^6*\:78125*\:11.4\\\\2^6=64\\\\=78125*\:64*\:11.4\\\\=57000000\\\\= 5.7 * 10^7$