Write an expression for the sequence of operations described below.

Question

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.

Answer 1

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:

\[ \left(3 \times \frac{y}{10}\right)^6 \]