Rewrite the following expression with positive exponents

(16xy)^5/6 = 1/(16xy)^5/6?

Something here is missing. You started with a positive exponent.

TYPO the exponent is -5/6

Then you are correct.

To rewrite the expression (16xy)^(5/6) with positive exponents, remember that an expression with a negative exponent can be rewritten as its reciprocal with a positive exponent.

So, starting from (16xy)^(5/6), you can rewrite it as 1/(16xy)^(-5/6).

Now, to further simplify, the expression (16xy)^(-5/6) can be rewritten as the reciprocal of the expression (16xy)^(5/6).

Therefore, the final expression with positive exponents is 1/(16xy)^(5/6).