Answer:
Explanation:
To simplify the expression (x^(1/6)y^(1/3))^(-18), we can apply the power of a power property, which states that when raising an exponent to another exponent, we multiply the exponents.
Using this property, we can simplify the expression as follows:
(x^(1/6)y^(1/3))^(-18) = x^((-18)(1/6)) * y^((-18)(1/3))
Simplifying the exponents:
= x^(-3) * y^(-6)
Finally, applying the negative exponent rule, which states that any base raised to a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent, we get:
= 1 / (x^3 * y^6)
Therefore, the simplified form of the expression (x^(1/6)y^(1/3))^(-18) is 1 / (x^3 * y^6).