Question

The value of (-1/216)to the power -2/3

Answer 1

Answer:

The value of (-1/216)^(-2/3) is undefined.

Step-by-step explanation:

$( \frac{ - 1}{216} )^{ - \frac{2}{3} }$

=

${( \frac{216}{ - 1} )}^{ \frac{2}{3} }$

=

${( - 216)}^{ \frac{2}{6} }$

The negative base can only be raised to an integer exponent.

So, the answer is undefined.