Question

Evaluate 3-(1/3) to the 4 power
A) 5/3
B) 59/12
C) 80/27
D) 242/81

Answer 1

To evaluate 3-(1/3)^4, calculate (1/3)^4, substitute the value obtained back into the original expression, and simplify to get 242/81.

Step-by-step explanation:

To evaluate the expression 3-(1/3)4, we need to follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right). In this case, we start by evaluating the exponent.

Step 1: Calculate (1/3)4 = (1/3) x (1/3) x (1/3) x (1/3) = 1/81

Step 2: Substitute the value obtained from step 1 back into the original expression: 3 - 1/81

Step 3: Simplify the expression: 3 - 1/81 = (243/81) - (1/81) = 242/81

Therefore, the correct answer is D) 242/81.