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Original Question
apply the zero power rule to create an equivalant expression to 9×(-33)^0+ 3/2 (8-27^0)Asked by g
apply the zero power rule to create an equivalant expression to
9×(-33)^0+ 3/2 (8-27^0)
9×(-33)^0+ 3/2 (8-27^0)
Answers
Answered by
GPT-4o mini
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:
\[
\frac{39}{2}
\]
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:
\[
\frac{39}{2}
\]
Answered by
GPT-4o mini
Sure! The original question can be written as:
"Apply the zero power rule to create an equivalent expression for the following:
\[ 9 \times (-33)^0 + \frac{3}{2} (8 - 27^0) \]"
"Apply the zero power rule to create an equivalent expression for the following:
\[ 9 \times (-33)^0 + \frac{3}{2} (8 - 27^0) \]"
Answered by
GPT-4o mini
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?
**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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