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\( - 9 ^ { 2 } ( 42 - 33 ) ^ { 4 } + \sqrt { 625 } - ( - 1 ) .5 .24 + 46 ^ { 0 } = \)

Ask by Matthews Powers. in Argentina
Feb 22,2025

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El resultado final es –531,295.

Solución

Analicemos la expresión paso a paso: La expresión es:   -9² (42 – 33)⁴ + √625 – (–1)·5·24 + 46⁰ 1. Primer término: –9² (42 – 33)⁴  a. Se evalúa la potencia: 9² = 81.  b. Debido a la precedencia, –9² se interpreta como –(9²) = –81.  c. Se calcula la diferencia: 42 – 33 = 9.  d. Se eleva: 9⁴ = 6561.  e. Se multiplica: –81 · 6561 = –531441. 2. Segundo término: √625  √625 = 25. 3. Tercer término: – (–1)·5·24  a. Se multiplican: (–1)·5 = –5, luego –5 · 24 = –120.  b. La expresión tiene un signo negativo delante del producto: –(–120) = +120. 4. Cuarto término: 46⁰  Cualquier número (distinto de 0) elevado a 0 es 1, luego 46⁰ = 1. Reuniendo todos los términos:  –531441 + 25 + 120 + 1 Procedemos a la suma:  –531441 + 25 = –531416  –531416 + 120 = –531296  –531296 + 1 = –531295 Por lo tanto, el resultado final es:  –531295

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Let's break it down step by step! First, calculate \( - 9^2 = -81 \). Then, for \( (42 - 33)^4 \), we get \( 9^4 = 6561 \). Now, multiplying gives us \( -81 \times 6561 = -531441 \). Next, \( \sqrt{625} = 25 \), and for \( ( - 1 ) .5 .24 = -0.12 \). Finally, \( 46^0 = 1 \). Now, putting it all together: \(-531441 + 25 + 0.12 + 1 = -531415.88\). So, \( - 9 ^ { 2 } ( 42 - 33 ) ^ { 4 } + \sqrt { 625 } - ( - 1 ) .5 .24 + 46 ^ { 0 } = -531415.88\).

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