Vereenvoudig die volgende uitdrukkings: \begin{tabular}{|l|l|}\hline 1.1 & \( 5.5^{x-1} \cdot\left(25^{1-x}\right)^{0} \) \\ \hline\( =5\left(1.1^{x-1} \cdot\left(5^{1-x}\right)^{0}\right) \) \\ \hline 1.2 & \( \frac{3^{-2} \cdot 2^{5} \cdot 5^{-1} \cdot 3^{2}}{2^{3} \cdot 5^{-2}} \) \\ \hline\end{tabular}

Calculate or simplify the expression \( 5.5^{x-1} * (25^{1-x})^{0} \). Simplify the expression by following steps: - step0: Solution: \(5.5^{x-1}\left(25^{1-x}\right)^{0}\) - step1: Convert the expressions: \(\left(\frac{11}{2}\right)^{x-1}\left(25^{1-x}\right)^{0}\) - step2: Evaluate the power: \(\left(\frac{11}{2}\right)^{x-1}\times 1\) - step3: Multiply: \(\left(\frac{11}{2}\right)^{x-1}\) - step4: Expand the expression: \(\frac{11^{x-1}}{2^{x-1}}\) Calculate or simplify the expression \( 5 * (1.1^{x-1} * (5^{1-x})^{0}) \). Simplify the expression by following steps: - step0: Solution: \(5\left(1.1^{x-1}\left(5^{1-x}\right)^{0}\right)\) - step1: Remove the parentheses: \(5\times 1.1^{x-1}\left(5^{1-x}\right)^{0}\) - step2: Convert the expressions: \(5\left(\frac{11}{10}\right)^{x-1}\left(5^{1-x}\right)^{0}\) - step3: Evaluate the power: \(5\left(\frac{11}{10}\right)^{x-1}\times 1\) - step4: Multiply the terms: \(5\left(\frac{11}{10}\right)^{x-1}\) - step5: Expand the expression: \(5\times \frac{11^{x-1}}{10^{x-1}}\) - step6: Rewrite the expression: \(5\times \frac{11^{x-1}}{5\times 2\times 10^{x-2}}\) - step7: Reduce the fraction: \(1\times \frac{11^{x-1}}{2\times 10^{x-2}}\) - step8: Multiply the terms: \(\frac{11^{x-1}}{2\times 10^{x-2}}\) Calculate or simplify the expression \( (3^{-2} * 2^{5} * 5^{-1} * 3^{2}) / (2^{3} * 5^{-2}) \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(3^{-2}\times 2^{5}\times 5^{-1}\times 3^{2}\right)}{\left(2^{3}\times 5^{-2}\right)}\) - step1: Remove the parentheses: \(\frac{3^{-2}\times 2^{5}\times 5^{-1}\times 3^{2}}{2^{3}\times 5^{-2}}\) - step2: Multiply by \(a^{-n}:\) \(3^{-2}\times 2^{5}\times 5^{-1}\times 3^{2}\times 2^{-3}\times 5^{2}\) - step3: Multiply the terms: \(3^{-2+2}\times 2^{5}\times 5^{-1}\times 2^{-3}\times 5^{2}\) - step4: Add the numbers: \(3^{0}\times 2^{5}\times 5^{-1}\times 2^{-3}\times 5^{2}\) - step5: Evaluate the power: \(2^{5}\times 5^{-1}\times 2^{-3}\times 5^{2}\) - step6: Multiply the terms: \(2^{5-3}\times 5^{-1}\times 5^{2}\) - step7: Subtract the numbers: \(2^{2}\times 5^{-1}\times 5^{2}\) - step8: Multiply the terms: \(2^{2}\times 5^{-1+2}\) - step9: Add the numbers: \(2^{2}\times 5\) - step10: Evaluate the power: \(4\times 5\) - step11: Multiply: \(20\) Die vereenvoudigde uitdrukkings zijn: 1.1: \( \frac{11^{x-1}}{2^{x-1}} \) 1.2: \( 20 \)