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

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cburr's profile pic

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

Posted on

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.

 

zumba96's profile pic

zumba96 | Student, Grade 11 | (Level 3) Valedictorian

Posted on

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

`(4.8x10^8)/(6x10^3)`

Once you have this if a power is over another power it becomes subtracted

8-3=5

then you need to find the first part

4.8/6=.8

therefore your answer would be `.8x10^5`

` <br> `

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

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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