Question

m=16
find n in the following​

Answer 1

Answer:

n=4

Step-by-step explanation:

$m^{ \frac34}={(8mn)}^{ \frac13} \\\\puttimg \ m=16\\\\{16}^{ \frac34}={( 8 \times 16 n) }^{ \frac13}\\\\{ (2^4)}^{\frac34} ={ (2^3 \times 2^4 n)}^{\frac13}\\\\2^3 = { (2^7 n)}^{\frac13 }= 2^{\frac73} \times n^{\frac13}\\\\\frac {2^3}{ 2^{\frac73} } =n^{\frac13}\\\\n^{\frac13} = 2^ { (3-\frac 73)}\\\\n^{\frac13} = 2^ { \frac 23}\\\\n=2^2\\\\n=4$