Rewrite with positive exponents. Assume that even roots are of nonnegative quantities and that all denominators are nonzero.(6xy/y)^-3
To rewrite the expression with positive exponents, we need to move the term with a negative exponent to the opposite location in the expression and change the sign of the exponent.
Starting with the expression:
(6xy / y)^-3
First, let's consider the numerator term 6xy. Since it doesn't have a negative exponent, we can leave it as it is.
The term with a negative exponent is the denominator y. To move it to the numerator, we write it with a positive exponent:
1 / y
Now, we can rewrite the expression with positive exponents:
(6xy)^-3 / (1/y)
To simplify further, when we raise a term with a negative exponent to a positive exponent, we take the reciprocal of that term and change the sign of the exponent.
So, (6xy)^-3 becomes 1 / (6xy)^3, and (1/y) becomes y:
1 / (6xy)^3 * y
Therefore, the expression rewritten with positive exponents is:
y / (6xy)^3