Final answer:
To write with positive exponents and simplify (-64)-2/3, we first need to understand the rule for negative exponents. A negative exponent means taking the reciprocal of a number. In this case, (-64)-2/3 becomes 1/4096 = 0.000244140625.
Step-by-step explanation:
To write with positive exponents and simplify (-64)-2/3, we first need to understand the rule for negative exponents. A negative exponent means taking the reciprocal of a number. In this case, (-64)-2/3 becomes 1/(-64)2/3.
Next, we simplify the expression by evaluating the exponents. 1/(-64)2/3 means we raise -64 to the power of 2, then take the cube root of the result. Simplifying further, we have 1/(-64)2/3 = 1/4096 = 0.000244140625.