To evaluate the expression \((10 - 1)^2 / 2 / 7\), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
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Calculate the parentheses: \[ 10 - 1 = 9 \]
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Apply the exponent: \[ 9^2 = 81 \]
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Now substitute that back into the expression: \[ 81 / 2 / 7 \]
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Division operations are from left to right: First, calculate \(81 / 2\): \[ 81 / 2 = 40.5 \]
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Now divide that result by 7: \[ 40.5 / 7 = 5.785714285714286 \quad (\text{approximately}) \]
Based on the options provided, none of them match the exact calculation of \(40.5 / 7\). However, given the choices available, let's present the result as a fraction or a decimal.
To present it as a simplified fraction: Calculate: \[ \frac{81}{14} \quad (\text{because } 7 \text{ is the denominator } ) \]
So, \( \frac{81}{14} \) is approximately \( 5.785714285714286 \).
This result does not directly match any of the supplied answer choices, so the expression could potentially be part of a different context or there may be a mistake in those responses.
However, the evaluated answer does clarify the calculation.
1 answer