Question

(15)^n×(6)^(m+2)×(10)^n/(6)^(m+n)×(5)^2n×(10)^2​

Answer 1

Answer:

$\frac{9}{25}$

Step-by-step explanation:

$\frac{(15)^{n}* (6)^{m+2}* (10)^{n} }{(6)^{m+n}*(5)^{2n}*(10)^{2}   } \\\\\frac{(3*5)^{n}* (2*3)^{m+2}* (2*5)^{n} }{(2*3)^{m+n}*(5)^{2n}*(2*5)^{2}  }\\ \\3^{n}* 5^{n}* 2^{m+2}* 3^{m+n}* 2^{n} *5^{n} *2^{-m-n} *3^{-m-n}* 5^{-2n} *2\*^{-2}* 5^{-2}\\ \\we \ use \ formula \ \frac{a^{m} }{b^{n} } =(a*b)^{m-n} \\\\\\3^{n+m+2-m-n}*2^{m+2-m-n-2+n} *5^{n+n-n-n-2} \\\\\\3^{2} *5^{-2} *2^{0} \\\\9*\frac{1}{25} *1\\\\\\\frac{9}{25}$

Hope it is clear to you..

Answer 2

Answer:

hope it helps

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