Final answer:
To simplify the expression (64r)^(-(2)/(3)), we can use the negative exponent rule and evaluate the expressions in the denominator.
Step-by-step explanation:
To simplify the expression (64r)^(-(2)/(3)), we can use the exponent rules. The negative exponent means that we need to take the reciprocal of the base raised to the positive exponent. So, (64r)^(-(2)/(3)) is equal to 1/(64r)^(2/(3)).
Next, we can rewrite 1/(64r)^(2/(3)) as 1/(64^(2/(3)) * r^(2/(3))). To simplify further, we can evaluate the expressions in the denominator. 64^(2/(3)) is equal to (4^3)^(2/(3)) which simplifies to 4^2 = 16. r^(2/(3)) remains as it is.
Finally, our expression simplifies to 1/(16r^(2/(3))).
Learn more about Simplifying Exponents