Please help:)
wat do you need a help with
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??
@lgbasallote @mathslover Plz help:)
Use: \[\huge a^x \times a^b = a^{x+y}\] \[\huge \frac{a^x}{a^b} = a^{x-y}\]
I used but failed:(
Apply it to 6 first..
6=2x3 10=2x5 15=3x5
work on the denominator first
Sorry, but can I plz have full solution:) I m so confused with this:(
plz plz
\[6^{m+1}×10^{n+3}×15^m=(2^{m+1}\times3^{m+1})\times(2^{n+3}\times5^{n+3})\times(3^m\times5^m)\]
\[\large \frac{2^m \times 2^3 \times 3^{2m} \times 3^{-n} \times 5^m \times 5^n \times 5^3 \times 6^n \times 6^1}{6^m \times 6^1 \times 2^n \times 2^3 \times 5^n \times 5^3 \times 3^m \times 3^5}\]
then @UnkleRhaukus
\[\large \frac{2^{m-n} \times 3^{m-n} \times 5^n \times 6^{n-m}}{3^5}\]
\[(2^{m+1}\times3^{m+1})\times(2^{n+3}\times5^{n+3})\times(3^m\times5^m)\] \[=(2^{m+1+n+3})\times(3^{m+1+m})\times(5^{n+3+m})\]
\[\large \frac{5^n}{243}\]
Is this the answer..??
\[\Huge{\color{blue}{\cal{Answer:-}}}\]\[\LARGE{\color{green}{1.}}\]
\[\large \frac{2^m \times 2^3 \times 3^{2m} \times 3^{-n} \times 5^m \times 5^n \times 5^3 \times 6^n \times 6^1}{6^m \times 6^1 \times 2^n \times 2^3 \times 5^n \times 5^3 \times 3^m \times 5^m}\]
\[{\frac{2^{m+3}\times3^{2m-n}\times5^{m+n+3}\times2^{n+1}\times3^{n+1}}{2^{m+1+n+3}\times3^{m+1+m}\times5^{n+3+m}}}\]
I have some work PLz give me the ful ans @UnkleRhaukus @waterineyes @ash2326 @mathslover :)
I m offline
\[\huge \color{green}{ 2^{m-n} \times 3^{m-n} \times 6^{n-m} = 1}\]
\[={\frac{2^{m+3+n+1}\times3^{2m-n+n+1}\times5^{m+n+3}}{2^{m+1+n+3}\times3^{m+1+m}\times5^{n+3+m}}}\] \[={\frac{\cancel{2^{m+3+n+1}}\times\cancel{3^{2m-n+n+1}}\times\cancel{5^{m+n+3}}}{\cancel{2^{m+1+n+3}}\times\cancel{3^{m+1+m}}\times\cancel{5^{n+3+m}}}}\]\[=\]
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 : \[\large 2^{m-n} \times 3^{m-n} \times 6^{n-m} = 1\]
Oh! @Callisto @UnkleRhaukus @waterineyes thanx now I understood!
Welcome..
Everybody deserves a medal but I can give only 1 sorry:)
Really appreciate the help:)
As long as I can help, I'm very happy already. Medal doesn't mean that much to me!!
wow @Callisto
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