Pregunta
Evaluate the following numerical expression: \[ -5(-2)^{5}-7(2) \]
Ask by Bush Ball. in the United States
Feb 13,2025
Solución de inteligencia artificial de Upstudy
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The result of the expression is 146.
Solución
Let's break down the expression step by step:
Expression:
-5(-2)^(5) - 7(2)
Step 1: Calculate (-2)^(5)
Since the exponent 5 is odd, (-2)^(5) = - (2^(5)) = -32.
Step 2: Multiply -5 by (-32)
-5 × (-32) = 160
Step 3: Multiply 7 by 2
7 × 2 = 14
Step 4: Subtract the results
160 - 14 = 146
Thus, the evaluated result of the expression is 146.
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Simplifique esta solución Mind Expander
To evaluate the expression \( -5(-2)^{5}-7(2) \), we first need to calculate \( (-2)^{5} \). Calculating \( (-2)^{5} \): \[ (-2)^{5} = -2 \times -2 \times -2 \times -2 \times -2 = -32 \] Now, substitute this value back into the expression: \[ -5(-32) - 7(2) \] Next, calculate \( -5(-32) \): \[ -5 \times -32 = 160 \] Now calculate \( -7(2) \): \[ -7 \times 2 = -14 \] Now we can combine the results: \[ 160 - 14 = 146 \] Thus, the final result of the expression is: \[ \boxed{146} \]
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