Evaluate the expression.

1+5÷1^3

1 answer

To evaluate the expression \( 1 + 5 \div 1^3 \), we follow the order of operations (PEMDAS/BODMAS):

  1. Parentheses/Brackets
  2. Exponents/Orders
  3. Multiplication and Division (from left to right)
  4. Addition and Subtraction (from left to right)

Let's break down the expression step by step:

  1. Calculate the exponent: \[ 1^3 = 1 \]

  2. Now substitute back into the expression: \[ 1 + 5 \div 1 \]

  3. Perform the division: \[ 5 \div 1 = 5 \]

  4. Substitute back into the expression: \[ 1 + 5 \]

  5. Finally, perform the addition: \[ 1 + 5 = 6 \]

Thus, the value of the expression \( 1 + 5 \div 1^3 \) is \(\boxed{6}\).