Which of the following expressions can be simplified to give an answer of 1? Show your work. (1 point) Responses 15−(9.1)0 15 minus 9 point 1 to the 0 power 110+240 11 to the 0 power plus 24 to the 0 power 2(80) 2 times open paren 8 to the 0 power close paren (−5.22)0

1 answer

To determine which of the given expressions can be simplified to give an answer of 1, we can evaluate each expression one by one.

  1. Expression: \( 15 - (9.1)^0 \)

    • Recall that any non-zero number raised to the power of 0 is equal to 1. Therefore, \( (9.1)^0 = 1 \).
    • So, \( 15 - 1 = 14 \).
    • This expression does not simplify to 1.
  2. Expression: \( 11^0 + 24^0 \)

    • Again using the property that any non-zero number raised to the power of 0 is equal to 1, we have \( 11^0 = 1 \) and \( 24^0 = 1 \).
    • Thus, \( 1 + 1 = 2 \).
    • This expression does not simplify to 1.
  3. Expression: \( 2(8^0) \)

    • As before, \( 8^0 = 1 \).
    • Therefore, \( 2 \times 1 = 2 \).
    • This expression does not simplify to 1.
  4. Expression: \( (-5.22)^0 \)

    • In this case, since \(-5.22\) is a non-zero number, we have \( (-5.22)^0 = 1 \).
    • Thus, this expression simplifies to 1.

After evaluating all the given expressions, the only one that simplifies to 1 is:

Answer: \( (-5.22)^0 \) simplifies to 1.