The expression x^6y^3/ ( x^2/y ) can be written as a product of two exponential terms with bases x and y for all values of x and y where the expression is defined. Choose the correct value of the exponent for each term.
The given expression can be simplified as follows:
x^6y^3 / (x^2 / y)
= x^6y^3 * y / x^2
= x^6 * y^4 / x^2
To write this as a product of two exponential terms with bases x and y, we need to combine the x terms and the y terms separately.
x^6 / x^2 = x^(6-2) = x^4
y^4 = y^4
Therefore, the expression can be written as:
x^4 * y^4