Wegnerkolmp or anyone who knows maths helllmaths. branliest 1/4 x √2=2^n

n = -3/2

Step-by-step explanation:

1/4 * sqrt(2) = 2^n

We need to rewrite all the terms so that they are powers of 2

1/4 = 1/2^2 = 2^-2  because if it is in the denominator it is a negative power

sqrt (2) = 2^1/2

Rewriting the left hand side

2^-2 * 2^1/2 = 2^n

When multiplying the same base, we can add the exponents x^a * x^b = x^(a+b)

2^(-2+1/2) = 2^n

Getting a common denominator in the exponent

2^(-4/2+1/2) =  2^n

2^(-3/2) = 2^n

When the bases are the same, the exponents have to be the same

x^(a)  = x^b  means a=b

-3/2 = n

i pretty sure it is