What is the decimal value of 2 raised to the power of -3?

To find the decimal value of (2) raised to the power of (-3), we can use the rule that states any number raised to a negative exponent is equivalent to the reciprocal of that number raised to the positive exponent. Therefore, (2^{-3}) can be rewritten as (\frac{1}{2^{3}}).

Next, we calculate (2^{3}):

[

2^{3} = 2 \times 2 \times 2 = 8

]

So, (2^{-3}) becomes:

[

2^{-3} = \frac{1}{2^{3}} = \frac{1}{8}

]

To convert (\frac{1}{8}) into decimal form, we divide (1) by (8):

[

1 \div 8 = 0.125

]

Thus, the decimal value of (2^{-3}) is (0.125), which corresponds to the choice indicating this value.