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^3y
The expression can be simplified as follows:
4x^2y^-5/2^⍰x^3y
First, simplify the numbers 2^⍰:
4x^2y^-5/(2^(⍰+1))x^3y
Next, simplify the variable terms:
4x^(2+3)y^(-5+1)y
This simplifies to:
4x^5y^-4y
or:
4x^5/y^4
To make this expression equal to 1/8xy^6, the ⍰ would need to be 6, since the variable term y^-4 needs to be y^6.