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Mathematics 8 Online
OpenStudy (theviper):

Please help:)

OpenStudy (anonymous):

wat do you need a help with

OpenStudy (theviper):

The value of\[\Large{\frac{2^{m+3}\times3^{2m-n}\times5^{m+n+3}\times6^{n+1}}{6^{m+1}\times10^{n+3}\times15^m}}\]is??

OpenStudy (theviper):

@lgbasallote @mathslover Plz help:)

OpenStudy (anonymous):

Use: \[\huge a^x \times a^b = a^{x+y}\] \[\huge \frac{a^x}{a^b} = a^{x-y}\]

OpenStudy (theviper):

I used but failed:(

OpenStudy (anonymous):

Apply it to 6 first..

OpenStudy (unklerhaukus):

6=2x3 10=2x5 15=3x5

OpenStudy (unklerhaukus):

work on the denominator first

OpenStudy (theviper):

Sorry, but can I plz have full solution:) I m so confused with this:(

OpenStudy (theviper):

plz plz

OpenStudy (unklerhaukus):

\[6^{m+1}×10^{n+3}×15^m=(2^{m+1}\times3^{m+1})\times(2^{n+3}\times5^{n+3})\times(3^m\times5^m)\]

OpenStudy (anonymous):

\[\large \frac{2^m \times 2^3 \times 3^{2m} \times 3^{-n} \times 5^m \times 5^n \times 5^3 \times 6^n \times 6^1}{6^m \times 6^1 \times 2^n \times 2^3 \times 5^n \times 5^3 \times 3^m \times 3^5}\]

OpenStudy (theviper):

then @UnkleRhaukus

OpenStudy (anonymous):

\[\large \frac{2^{m-n} \times 3^{m-n} \times 5^n \times 6^{n-m}}{3^5}\]

OpenStudy (unklerhaukus):

\[(2^{m+1}\times3^{m+1})\times(2^{n+3}\times5^{n+3})\times(3^m\times5^m)\] \[=(2^{m+1+n+3})\times(3^{m+1+m})\times(5^{n+3+m})\]

OpenStudy (anonymous):

\[\large \frac{5^n}{243}\]

OpenStudy (anonymous):

Is this the answer..??

OpenStudy (theviper):

\[\Huge{\color{blue}{\cal{Answer:-}}}\]\[\LARGE{\color{green}{1.}}\]

OpenStudy (anonymous):

\[\large \frac{2^m \times 2^3 \times 3^{2m} \times 3^{-n} \times 5^m \times 5^n \times 5^3 \times 6^n \times 6^1}{6^m \times 6^1 \times 2^n \times 2^3 \times 5^n \times 5^3 \times 3^m \times 5^m}\]

OpenStudy (unklerhaukus):

\[{\frac{2^{m+3}\times3^{2m-n}\times5^{m+n+3}\times2^{n+1}\times3^{n+1}}{2^{m+1+n+3}\times3^{m+1+m}\times5^{n+3+m}}}\]

OpenStudy (theviper):

I have some work PLz give me the ful ans @UnkleRhaukus @waterineyes @ash2326 @mathslover :)

OpenStudy (theviper):

I m offline

OpenStudy (callisto):

OpenStudy (anonymous):

\[\huge \color{green}{ 2^{m-n} \times 3^{m-n} \times 6^{n-m} = 1}\]

OpenStudy (unklerhaukus):

\[={\frac{2^{m+3+n+1}\times3^{2m-n+n+1}\times5^{m+n+3}}{2^{m+1+n+3}\times3^{m+1+m}\times5^{n+3+m}}}\] \[={\frac{\cancel{2^{m+3+n+1}}\times\cancel{3^{2m-n+n+1}}\times\cancel{5^{m+n+3}}}{\cancel{2^{m+1+n+3}}\times\cancel{3^{m+1+m}}\times\cancel{5^{n+3+m}}}}\]\[=\]

OpenStudy (anonymous):

Firstly just separate all the terms by using the formula that i gave above: \[\large \frac{2^m \times 2^3 \times 3^{2m} \times 3^{-n} \times 5^m \times 5^n \times 5^3 \times 6^n \times 6^1}{6^m \times 6^1 \times 2^n \times 2^3 \times 5^n \times 5^3 \times 3^m \times 5^m}\] Just cancel the terms and again use the above formulas : \[\large 2^{m-n} \times 3^{m-n} \times 6^{n-m} = 1\]

OpenStudy (theviper):

Oh! @Callisto @UnkleRhaukus @waterineyes thanx now I understood!

OpenStudy (anonymous):

Welcome..

OpenStudy (theviper):

Everybody deserves a medal but I can give only 1 sorry:)

OpenStudy (theviper):

Really appreciate the help:)

OpenStudy (callisto):

As long as I can help, I'm very happy already. Medal doesn't mean that much to me!!

OpenStudy (theviper):

wow @Callisto

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