Question

Which expression is equivalent to (1/16)⁻⁴?

A. (16)⁴
B. ⁴√1/16
C. -(1/16)⁻⁴

Answer 1

The expression (1/16)⁻⁴ is equivalent to (16)⁴.

Step-by-step explanation:

The expression (1/16)⁻⁴ can be simplified by using the rule that a negative exponent is equivalent to putting the item in the denominator. So, (1/16)⁻⁴ is the same as 1/(1/16)⁴. To simplify this further, we can convert 1/(1/16)⁴ to (16)⁴. Therefore, the expression (1/16)⁻⁴ is equivalent to option A, (16)⁴.