To solve the expression \( 9 \times \left(-33^0 + \frac{3}{2}\right) \times (8 - 27^0) \), we first need to evaluate the components step by step.
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Calculate \( -33^0 \): Any non-zero number raised to the power of 0 is 1. Therefore, \[ -33^0 = -1 \]
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Calculate \( 27^0 \): Similarly, \[ 27^0 = 1 \]
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Now substitute these values back into the expression: \[ 9 \times \left(-1 + \frac{3}{2}\right) \times (8 - 1) \]
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Calculate \( -1 + \frac{3}{2} \): To combine these, convert -1 to a fraction: \[ -1 = -\frac{2}{2} \quad \text{so} \quad -1 + \frac{3}{2} = -\frac{2}{2} + \frac{3}{2} = \frac{1}{2} \]
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Now calculate \( 8 - 1 \): \[ 8 - 1 = 7 \]
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Substitute these results back into the expression: \[ 9 \times \frac{1}{2} \times 7 \]
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Now perform the calculations:
- First, calculate \( 9 \times \frac{1}{2} = \frac{9}{2} \).
- Then, calculate \( \frac{9}{2} \times 7 = \frac{9 \times 7}{2} = \frac{63}{2} \).
Thus, the final result of the expression is: \[ \frac{63}{2} \]
That's the equivalent expression and final answer.