Apply the Zero Power Rule to create an equivalent expression to

(2 points)
(−40)^0 + 1/2(11−32^0) =

+1/2 __(−)__

1 answer

The Zero Power Rule states that any non-zero number raised to the power of 0 equals 1.

Applying this rule to the expression you provided:

  1. \((-40)^0 = 1\)
  2. \(32^0 = 1\)

Now, we substitute these values into the expression:

\[ (-40)^0 + \frac{1}{2}(11 - 32^0) = 1 + \frac{1}{2}(11 - 1) \]

Now simplify inside the parentheses:

\[ = 1 + \frac{1}{2}(10) \]

Now calculate:

\[ = 1 + 5 = 6 \]

So, the equivalent expression is:

\[ 6 = 1 + \frac{1}{2} \times 10 \]

In your requested format, we have:

\(\frac{1}{2} \times 10\) which simplifies to:

\(\frac{1}{2} (11 - 1)\)

Thus, the final expression can be written as:

\[

  • \frac{1}{2} \times 10 \]

The output you are looking for, filling in the blanks, is:

\(\frac{1}{2} \) (−) : 10.