Question

(-64)⁻⁽¹/²⁾ value(s) with the radio button value. If the radio button is not selected, _____.

Answer 1

The value of (-64)⁻⁽¹/²⁾ is -i/8.

Step-by-step explanation:

The given expression is (-64)⁻⁽¹/²⁾. To find its value, we need to apply the rule of exponents. In this case, the negative exponent indicates taking the reciprocal. Additionally, a fractional exponent represents a root. So, we need to find the reciprocal of the square root of -64.

The square root of -64 is 8i, where i is the imaginary unit. Therefore, the reciprocal of the square root of -64 is 1/(8i) = -i/8.

Therefore, the value of (-64)⁻⁽¹/²⁾ is -i/8.