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

Question

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

UpStudy AI · Accepted Answer

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

1.1: $$ \frac{11^{x-1}}{2^{x-1}} $$

1.2: $$ 20 $$
1.1: $$ \frac{11^{x-1}}{2^{x-1}} $$ 1.2: $$ 20 $$

Vereenvoudig die volgende uitdrukkings:

1.1

1.2

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Vereenvoudig die volgende uitdrukkings: 1.1 1.2