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What is 4.8 times 10 to the 8th power over 6 times 10 to the 3rd power simplified?

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brendogluvr | Student, Grade 9 | eNotes Newbie

Posted March 31, 2009 at 11:04 AM via web

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What is 4.8 times 10 to the 8th power over 6 times 10 to the 3rd power simplified?

Tagged with algebra, math, simplification

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cburr | Middle School Teacher | (Level 2) Associate Educator

Posted March 31, 2009 at 11:30 AM (Answer #1)

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To start, you have:

 

4.8 x 10^8 / 6 x 10^3

You can cancel out 10^3 from top and bottom, which leaves you with

4.8 x 10^5 / 6

Now divide 4.8 by 6 = .8

So, you are left with .8 x 10^5

This is better expressed as 8 x 10^4.

 

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atyourservice | Student , Grade 10 | eNoter

Posted April 19, 2014 at 9:46 PM (Answer #2)

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4.8 times 10 to the 8th power over 6 times 10 to the 3rd power

`( 4.8 xx 10^8 ) / ( 6 xx 10^3)`

For the exponents just minus them `10^8 - ^3 = 10^5`

`(4.8 xx 1^5) / 6`

divide 4.8 by 6

4.8 / 6 = .8

the answer is `.8 xx 10^5`   move the decimal point in front of the 8 and end up with

`8 xx 10^4`

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