Question

Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0)
9
⋅
(
−
33
)
0
+
3
2
(
8
−
27
0
)
.(2 points)
9⋅(−33)^0+3/2(8−27^0)
9
⋅
(
−
33
)
0
+
3
2
(
8
−
27
0
)
= ⋅
⋅
+3/2
+
3
2
( – )

Answer 1

The Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1. Therefore, we can simplify the expression by applying this rule.

Let's simplify \(9 \cdot (-33)^0 + \frac{3}{2}(8 - 27^0)\):

1. Apply the Zero Power Rule:
- \((-33)^0 = 1\)
- \(27^0 = 1\)

Thus, we can rewrite the expression as:
\[
9 \cdot 1 + \frac{3}{2}(8 - 1)
\]

2. Simplify the expression:
\[
9 + \frac{3}{2}(7)
\]
\[
9 + \frac{21}{2}
\]

3. To add \(9\) and \(\frac{21}{2}\), convert \(9\) into a fraction with a denominator of 2:
\[
9 = \frac{18}{2}
\]

Now combine the two fractions:
\[
\frac{18}{2} + \frac{21}{2} = \frac{39}{2}
\]

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

In summary:
\[
9 \cdot (-33)^0 + \frac{3}{2}(8 - 27^0) = \frac{39}{2}
\]