SOLUTION: how do you simplify, and write an answer as a power of 10? ex. 10power of -2 divided by 10 -4power

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Question 99316: how do you simplify, and write an answer as a power of 10? ex. 10power of -2 divided by 10 -4power
Found 2 solutions by stanbon, chitra:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
10power of -2 divided by 10 -4power
----------
10^-2 / 10^-4
= 10^4 / 10^2
= 10^2
= 100
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Cheers,
Stan H.

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

10power of -2 divided by 10 -4power


This can be written as:


+%28%2810%5E%28-2%29%29%2F%2810%5E%28-4%29%29%29


==> +%28%281%2F%2810%5E2%29%29%2F%281%2F%2810%5E4%29%29%29+


This can be written as:


+%28%2810%5E4%29%2F%2810%5E2%29%29+


This is nothing but

+%28%2810+%2A+10+%2A+10+%2A+10%29%2F+%2810+%2A+10%29%29+


Cancelling few of the common terms, we get:


+10+%2A+10+


Thsi implies we get:


+10%5E2


Thus the solution... Which is expressed as the power of 10.


Regards