Write an expression for the sequence of operations described below. Double u, then raise the result to the 10th power. Do not simplify any part of the expression.
Understand the Problem
The question is asking to create a mathematical expression based on the instructions given: first double the variable u, and then raise that result to the 10th power. This involves using the correct mathematical operations in the expression without simplifying it.
Answer
The final expression is: $$ (2u)^{10} $$
Answer for screen readers
The expression representing the operations is:
$$ (2u)^{10} $$
Steps to Solve
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Double the variable ( u )
To double the variable ( u ), we multiply it by 2. The expression for this step is:
$$ 2u $$ -
Raise the result to the 10th power
Next, we take the result from the first step ( (2u) ) and raise it to the 10th power. The expression for this final step is:
$$ (2u)^{10} $$ -
Combine the expressions
Thus, the complete expression that reflects both operations is:
$$ (2u)^{10} $$
The expression representing the operations is:
$$ (2u)^{10} $$
More Information
This expression takes the variable ( u ), doubles it, and then elevates the result to the 10th power, which can be useful in various mathematical applications, including algebra and calculus.
Tips
- Neglecting parenthesis: It is crucial to include parentheses when raising a product to a power to avoid misinterpretation of the order of operations.
- Simplifying too early: The question specifically asks not to simplify the expression, so ensure to keep it in the raised form.
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