Rewrite with positive exponents. Assume that even roots are of nonnegative quantities and that all denominators are nonzero.(6xy/y)^2
Express in terms of i.
2�ã-36
To rewrite the expression with positive exponents, we can use the property that `(a/b)^n = a^n / b^n`.
1. Start with the expression: `(6xy/y)^2`.
2. Apply the property: `(6xy)^2 / y^2`.
3. To simplify further, square each term: `36x^2y^2 / y^2`.
4. Now, cancel out the common factors in the numerator and denominator: `36x^2`.
So, the expression `(6xy/y)^2` with positive exponents is `36x^2`.
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To express the expression `2�ã-36` in terms of `i`, we need to simplify the square root of `-36`.
1. Start with the expression: `2�ã-36`.
2. Rewrite `-36` as `(-1) * 36`. Note that `�ã-1 = i`.
3. Take the square root of `36`: `�ã36 = 6`.
4. Rewrite `�ã-36` as `6i`, using the property `�ãab = �ãa * �ãb`.
5. The expression `2�ã-36` in terms of `i` is `2 * 6i = 12i`.