Write an Equivalent Expression With..

[gijas]

Write an equivalent expression that uses only positive exponents;

36x^3 y^6 / 9x^-5 y^3

I have = 4/1 x^8 y^9

Is the y^ exponent in the numerator or denominator since they are both positive exponents to begin with and is it correct?

next problem.. that has everything in the denominator;

42x^-2 y^6 / 16x^-2 y^3

I have = 1 / 8/21 y^-3

..and is this correct?

Also how would I enter these two problems into the wolfram alpha computational knowledge engine to solve on my own if anyone knows how? Thank you.

 

[tkhunny]

You have forgotten your Order of Operations.

4/x*8 is NOT the same as (4/x)*8

\(\displaystyle \frac{36x^{3}y^{6}}{9x^{-5}y^{3}}\;=\;\frac{36}{4}\cdot \frac{x^{3}}{x^{-5}}\cdot \frac{y^{6}}{y^{3}}\;=\;4\cdot x^8 \cdot y^{3}\)

Unfortunately, I cannot tell if that is the same prolem as the one you intended to present.

 

[gijas]

You have forgotten your Order of Operations.

4/x*8 is NOT the same as (4/x)*8

\(\displaystyle \frac{36x^{3}y^{6}}{9x^{-5}y^{3}}\;=\;\frac{36}{4}\cdot \frac{x^{3}}{x^{-5}}\cdot \frac{y^{6}}{y^{3}}\;=\;4\cdot x^8 \cdot y^{3}\)

Unfortunately, I cannot tell if that is the same prolem as the one you intended to present.

Yes, it is. Where did I miss the order of operations at?

 

[tkhunny]

Where did I miss the order of operations at?

Seriously? Just about everywhere.

"36x^3 y^6 / 9x^-5 y^3 "

This means \(\displaystyle 36\cdot x^{3} \cdot \frac{y^{6}}{9}\cdot x^{-5}\cdot y^{3}\)

That appears to be other than intended.

 

[gijas]

OK I understand. And the other?