Answer:
d) 8
first step : Start with the expression: 1 divided by 2 raised to the power of negative 3.
second step: Recall that a negative exponent means taking the reciprocal of the base raised to the corresponding positive exponent. So, 2 raised to the power of negative 3 is equal to 1 divided by 2 raised to the power of 3.
third step : Substitute this into the original expression: 1 divided by (1 divided by 2 raised to the power of 3).
4th :Simplify the complex fraction by multiplying the numerator by the reciprocal of the denominator: 1 times 2 raised to the power of 3.
5th :Calculate 2 raised to the power of 3, which is 8.
Therefore, the expression 1 divided by 2 raised to the power of negative 3 simplifies to 8.
The correct answer is: d) 8
