What would the ⍰ need to be in the expression below for the simplified form of the expression to be equal to

1/8xy^6 ?

4x^2y^-5/2^⍰x^3 y

3 answers

The value of ⍰ should be 5 in order for the simplified form of the expression to be equal to 1/8xy^6.
what about the other problem
Apologies for the confusion. Let's simplify the expression:

(4x^2y^-5)/(2^⍰x^3y)

To simplify, we can distribute the exponent of 2 inside the parentheses:

(4x^2y^-5)/(2^⍰ x^3y) = (4x^2y^-5)/(2^(⍰+1) x^3y)

Now, let's focus on the exponents of x and y:

x^2 / (2^(⍰+1) x^3) = 1 / (2^(⍰+1) x)

To simplify this expression further, we will assume that x is not equal to zero, as it would result in division by zero.

Therefore, the simplified form of the expression is:

1 / (2^(⍰+1) x), where x ≠ 0.

So, there is no specific value for the symbol ⍰ that would make the simplified form of the expression equal to 1/8xy^6.