m^2 =

Question

1/64 n^3 = m

whats the value of n

Answer 1

To find the value of n, we first need to find the value of m by substituting the value of m^2 in the second equation.

m^2 = 1/64 n^3
m = sqrt(1/64 n^3)
m = 1/8 sqrt(n^3)
m = 1/8 n^(3/2)

Now, we know that m = 1/8 n^(3/2). Let's substitute this value of m back into the second equation:

1/64 n^3 = 1/8 n^(3/2)
1/64 n^3 = 1/8 n^(3/2)

To solve for n, we can simplify the equation as follows:

1/64 n^(3/2) * n^(1/2) = 1/8 n^(3/2)
1/64 n^(5/2) = 1/8 n^(3/2)
1/64 n^(5/2) = 1/8 n^(3/2)
1/64 = 8
n^(5/2) = 64
n = (64)^(2/5)
n = 4

Therefore, the value of n is 4.