Simplify. ( { - 2})^( - 3) options: 8 1/8 -8 -1/8​

Question

Simplify.


`( { - 2})^( - 3)`
options:

8

1/8

-8

-1/8​

Answer 1

-1/8

Explanation:

Apply exponent rule ^a^-b = 1/a^B

Answer 2

`\huge\textsf{Hey there!}`

`\large\textsf{2}\mathsf{^(-3)}\\\\\\\mathsf{= (1)/(-2*-2*-2)}\\\\\\\mathsf{-2*-2*-2 =\bf (-2)^(3)}\\\\\mathsf{(-2)^3}\\\mathsf{= -2*-2*-2}\\\mathsf{= 4*-2}\\\mathsf{\mathsf{= \bf -8}}\\\\\\\mathsf{= -2^(-3) \rightarrow\boxed{\bf -(1)/(8)}}\large\checkmark`

`\boxed{\boxed{\large\textsf{Answer: Option D. }\mathsf{\bf - (1)/(8)}}}\huge\checkmark`

`\large\textsf{Good luck on your assignment and enjoy your day!}`

~
`\frak{Amphitrite1040:)}`