Question

Evaluate the quantity one third cubed times one third raised to the zero power end quantity all raised to the second power.

one over 729
one over 243
one over 81
one over nine

Answer 1

To evaluate the expression, let's break it down step by step:

Step 1: Evaluate one-third cubed.

(1/3)^3 = 1/27

Step 2: Evaluate one-third raised to the zero power.

(1/3)^0 = 1

Step 3: Multiply the results from steps 1 and 2.

(1/27) * 1 = 1/27

Step 4: Raise the result from step 3 to the second power.

(1/27)^2 = 1/729

Therefore, the quantity (1/3)^3 * (1/3)^0, all raised to the second power, is equal to 1/729.

Hence, the correct answer is "one over 729."