Question

Area = 6x^4y^8 = ( 36 x^8y^16)^n+2

value of n?
pls answer asap

Answer 1

Answer:

The value of n is $\frac{-3}{2}$

Step-by-step explanation:

The equation given in the question says

$Area = 6x^{4}y^{8} = (36x^{8} x^{16})^{n+2}$

This question can be solved by making the base equation of both R.H.S and L.H.S equal and then comparing the degrees of both sides.

Let us first make the base equation the same on both sides,

$6x^{4} y^{8} = (36x^{8}y^{16})^{n+2}$

$6x^{4}y^{8} = [[(6x^{4}y^{8})]^{2}]^{n+2}$

$6x^{4}y^{8} = [6x^{4}y^{8}]^{2(n+2)}$

Now, since the base equation is the same,

Let us compare the degrees of both sides

$1 = 2(n+2)\\1 = 2n + 4\\2n = 1 - 4\\\\n = \frac{-3}{2}$