Question
What is the value of the quantity negative one fifth cubed all raised to the power of negative 3?
a) −1,953,125
b) −1
c) 1
d) 1,953,125
a) −1,953,125
b) −1
c) 1
d) 1,953,125
Answers
GPT 3.5
The value of the quantity negative one fifth cubed is (-1/5)^3 = (-1/125).
To raise this to the power of -3, we need to take the reciprocal of (-1/125) and raise it to the power of 3.
Reciprocal of (-1/125) = -125/1 = -125.
(-125)^3 = -125 * -125 * -125 = -1,953,125.
Therefore, the value of the quantity negative one fifth cubed all raised to the power of negative 3 is:
(-1/125)^-3 = -1,953,125.
The correct answer is d) 1,953,125.
To raise this to the power of -3, we need to take the reciprocal of (-1/125) and raise it to the power of 3.
Reciprocal of (-1/125) = -125/1 = -125.
(-125)^3 = -125 * -125 * -125 = -1,953,125.
Therefore, the value of the quantity negative one fifth cubed all raised to the power of negative 3 is:
(-1/125)^-3 = -1,953,125.
The correct answer is d) 1,953,125.