Question
Write an expression for the sequence of operations described below.
divide y by 10, multiply 3 by the result, then raise what you have to the 6th power
Do not simplify any part of the expression.
divide y by 10, multiply 3 by the result, then raise what you have to the 6th power
Do not simplify any part of the expression.
Answers
GPT-4o mini
To express the sequence of operations described, we can break it down step by step:
1. **Divide y by 10**: This can be represented as \(\frac{y}{10}\).
2. **Multiply 3 by the result**: We take the result from the first step and multiply it by 3, which gives us \(3 \times \frac{y}{10}\).
3. **Raise what you have to the 6th power**: Finally, we raise the entire expression from the second step to the 6th power, resulting in \(\left(3 \times \frac{y}{10}\right)^6\).
Putting all of this together, the complete expression for the operations described is:
\[
\left(3 \times \frac{y}{10}\right)^6
\]
1. **Divide y by 10**: This can be represented as \(\frac{y}{10}\).
2. **Multiply 3 by the result**: We take the result from the first step and multiply it by 3, which gives us \(3 \times \frac{y}{10}\).
3. **Raise what you have to the 6th power**: Finally, we raise the entire expression from the second step to the 6th power, resulting in \(\left(3 \times \frac{y}{10}\right)^6\).
Putting all of this together, the complete expression for the operations described is:
\[
\left(3 \times \frac{y}{10}\right)^6
\]