EXPLANATION
M12. What is the value of (1/2)⁻³?
a) 1/8
b) 1/4
c) 4
d) 8
ANSWER: d) 8
EXPLANATION:
To evaluate the expression (1/2)⁻³, we can start by raising 1/2 to the power of -3. The negative exponent indicates that we need to take the reciprocal of the base.
(1/2)⁻³ is equivalent to (2/1)³ since taking the reciprocal of 1/2 results in 2/1.
Now, let's simplify (2/1)³:
(2/1)³ = 2³/1³ = 8/1 = 8.
Therefore, the value of (1/2)⁻³ is 8.
So, the correct option is:
d) 8
