Question

Упростите выражение: 48^n/(4^2n-1*3^n-3)

Answer 1

$\frac{48^{n} }{4^{2n-1} *3^{n-3} }=\frac{(16*3)^{n} }{4^{2n-1} *3^{n-3} }=\\\\= \frac{4^{2n}*3^{n} }{\frac{4^{2n} }{4} *\frac{3^{n} }{3^{3}} }=$

$= \frac{4^{2n}*3^{n} }{\frac{4^{2n} }{4} *\frac{3^{n} }{27}} }= \\\\= \frac{4^{2n}*3^{n} }{\frac{4^{2n} *3^{n} }{4*27} }= 4*27=108$