apply the zero power rule to create an equivalant expression to

9×(-33)^0+ 3/2 (8-27^0)

5 answers

The zero power rule states that any non-zero number raised to the power of zero is equal to 1. This is applicable in the given expression as follows:

  1. For \((-33)^0\), according to the zero power rule, this equals 1.
  2. For \(27^0\), this also equals 1.

Now, let's simplify the expression step by step:

  1. Start with the original expression: \[ 9 \times (-33)^0 + \frac{3}{2} (8 - 27^0) \]

  2. Apply the zero power rule: \[ 9 \times 1 + \frac{3}{2} (8 - 1) \]

  3. This simplifies to: \[ 9 + \frac{3}{2} (7) \]

  4. Now, calculate \(\frac{3}{2} \times 7\): \[ \frac{3 \times 7}{2} = \frac{21}{2} \]

  5. Now add \(9\) (which can be written as \(\frac{18}{2}\) to have a common denominator): \[ \frac{18}{2} + \frac{21}{2} = \frac{39}{2} \]

So, the equivalent expression is: \[ \frac{39}{2} \]

write the question regularly

Sure! The original question can be written as:

"Apply the zero power rule to create an equivalent expression for the following:

\[ 9 \times (-33)^0 + \frac{3}{2} (8 - 27^0) \]"

i still don't understand write it regularly

I apologize for any confusion! Here's the question written out in a simpler, clearer manner:

Question:

Using the zero power rule, simplify the expression:

\( 9 \times (-33)^0 + \frac{3}{2} (8 - 27^0) \)

What is the equivalent expression?

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