Answer:
Choices 1, 2, and 4: (-1/4)^3 , -(1/4)^3 , and -(1/8)^2
Explanation:
Choices 3 and 5 can immediately be eliminated because the inside of the numbers are negatives and being multiply by each other EVEN times therefore it would equal to the positive version of a number.
Next we can solve for the other equations. (-1/4)^3 is -1/4*-1/4*-1/4 which is 3 negative numbers that equate to -1/64.
The 2nd choice is -(1/4)^3. Remember PEMDAS. Exponents first before multiplication. Therefore 1/4*1/4*1/4 which equals 1/64 and you then multiply by -1 which is now -1/64.
Lastly, -(1/8)^2 would also involve PEMDAS. First do the exponent and get 1/8*1/8 which is 1/64, finally multiply by -1 which is then -1/64.