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QuestionMathematics

Which expression is represented by the model? Which expression is represented by the model? \begin{aligned} & x \\ & x \\ & x \\ & x \\ & x \end{aligned} \begin{aligned} & \text { Mark this and return } \\ & \text { Save and Exit } \end{aligned}
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Answer

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Step 1:
I'll solve this step-by-step:

Step 2:
: Analyze the Model

The model shows 5 identical copies of $$x$$ stacked vertically.
This suggests multiplication of x by itself 5 times.

Step 3:
: Identify the Mathematical Operation

In this case, we have $$x$$ repeated 5 times.
When a number or variable is repeated and multiplied by itself multiple times, this represents exponentiation.

Step 4:
: Determine the Exponent

The number of times $$x$$ is repeated corresponds to the exponent.
Here, x appears 5 times.

Step 5:
: Write the Algebraic Expression

The expression represented by this model is $$x^{5}$$.

Final Answer

Explanation: The model shows x multiplied by itself 5 times, which is equivalent to x raised to the 5th power (x^{5}).