Actividad 10ressuelve 105 siguientes a. \( (-3)(-4)+(12)(-3) \) b10-( -5\( )=18-(-9) \) 2) soluciona los siguientes el orden en 105 operacio a. \( (-9)^{2} \div(-27)-(\sqrt{4})(-2) \) b. \( (-2)^{3}(-5)^{2}+(-27) \div \)

Calculate the value by following steps: - step0: Calculate: \(\left(-2\right)^{3}\left(-5\right)^{2}+\frac{\left(-27\right)}{1}\) - step1: Remove the parentheses: \(\left(-2\right)^{3}\left(-5\right)^{2}+\frac{-27}{1}\) - step2: Divide the terms: \(\left(-2\right)^{3}\left(-5\right)^{2}-27\) - step3: Multiply the numbers: \(-200-27\) - step4: Subtract the numbers: \(-227\) Calculate or simplify the expression \( (-9)^{2} / (-27) - (\sqrt(4)) * (-2) \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(-9\right)^{2}}{\left(-27\right)}-\left(\sqrt{4}\right)\left(-2\right)\) - step1: Remove the parentheses: \(\frac{\left(-9\right)^{2}}{-27}-\left(\sqrt{4}\right)\left(-2\right)\) - step2: Simplify the root: \(\frac{\left(-9\right)^{2}}{-27}-2\left(-2\right)\) - step3: Divide the terms: \(-3-2\left(-2\right)\) - step4: Multiply the numbers: \(-3+4\) - step5: Add the numbers: \(1\) Calculate or simplify the expression \( (-3)*(-4)+(12)*(-3) \). Calculate the value by following steps: - step0: Calculate: \(\left(-3\right)\left(-4\right)+12\left(-3\right)\) - step1: Remove the parentheses: \(-3\left(-4\right)+12\left(-3\right)\) - step2: Multiply the numbers: \(12+12\left(-3\right)\) - step3: Multiply the numbers: \(12-36\) - step4: Subtract the numbers: \(-24\) Calculate or simplify the expression \( (-2)^{3} * (-5)^{2} + (-27) \). Calculate the value by following steps: - step0: Calculate: \(\left(-2\right)^{3}\left(-5\right)^{2}+\left(-27\right)\) - step1: Remove the parentheses: \(\left(-2\right)^{3}\left(-5\right)^{2}-27\) - step2: Multiply the numbers: \(-200-27\) - step3: Subtract the numbers: \(-227\) Solve the equation \( 10-(-5)=18-(-9) \). Check the equality by following steps: - step0: Check the equality is true or false: \(10-\left(-5\right)=18-\left(-9\right)\) - step1: Simplify: \(15=27\) - step2: Check the equality: \(\textrm{false}\) Aquí están las soluciones a las operaciones que solicitaste: ### 1. Resuelve las siguientes operaciones: a. \( (-3)(-4)+(12)(-3) \) \[ (-3)(-4) = 12 \] \[ (12)(-3) = -36 \] \[ 12 + (-36) = -24 \] **Resultado:** \(-24\) b. \( 10 - (-5) = 18 - (-9) \) Primero, resolvemos cada lado de la ecuación: - Lado izquierdo: \[ 10 - (-5) = 10 + 5 = 15 \] - Lado derecho: \[ 18 - (-9) = 18 + 9 = 27 \] Ahora, comparamos: \[ 15 \neq 27 \] **Resultado:** La ecuación es falsa. ### 2. Soluciona las siguientes operaciones: a. \( (-9)^{2} \div (-27) - (\sqrt{4})(-2) \) \[ (-9)^{2} = 81 \] \[ 81 \div (-27) = -3 \] \[ \sqrt{4} = 2 \] \[ (2)(-2) = -4 \] \[ -3 - (-4) = -3 + 4 = 1 \] **Resultado:** \(1\) b. \( (-2)^{3}(-5)^{2} + (-27) \) \[ (-2)^{3} = -8 \] \[ (-5)^{2} = 25 \] \[ (-8)(25) = -200 \] \[ -200 + (-27) = -200 - 27 = -227 \] **Resultado:** \(-227\) ### Resumen de resultados: - a: \(-24\) - b: Falsa - a: \(1\) - b: \(-227\)