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Mathematics 19 Online
OpenStudy (anonymous):

What is the correct simplification of

OpenStudy (anonymous):

\[\frac{ d ^{7}g ^{13}}{ d ^{2}g ^{7} }\]

OpenStudy (compassionate):

\[\frac{ d^5g^6 }{ 1 } = d^5g^6\]

OpenStudy (anonymous):

wouldnt it be -6?

OpenStudy (anonymous):

why doesnt it go on the bottom?

OpenStudy (mertsj):

\[\frac{dddddddggggggggggggg}{ddggggggg}\]

OpenStudy (compassionate):

We subtract the denominator from the numerator\[d^7 - ^2 = 5\] \[g ^{13 - 7} = 6\]

OpenStudy (mertsj):

Are the extra d's on the top or bottom after you cancel the common factors?

OpenStudy (mertsj):

Where are the extra g's? On the top or bottom?

OpenStudy (compassionate):

Mertsj is trying to help you by giving a visual representation.

OpenStudy (anonymous):

@Mertsj on the top for both

OpenStudy (compassionate):

Correct.

OpenStudy (mertsj):

Excellent. That's why they are on the top.

OpenStudy (compassionate):

Now what happens when you have a fraction in the form of. \[ \frac{x }{ 1 }\]

OpenStudy (anonymous):

ohhhhhhhhhhhhhhhhhhhhhh...

OpenStudy (mertsj):

That subtraction thing is just a convenient shortcut so we don't have to write out all those factors every time.

OpenStudy (anonymous):

ohhok thank you to both :)

OpenStudy (mertsj):

yw

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