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4) Write an expression for the sequence of operations described below. 4)) triple \( w \), then raise the result to the 6th power (1) Do not simplify any part of the expression.

Ask by Mccoy Pope. in the United States
Jan 26,2025

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Tutor-Verified Answer

Answer

The expression is \( (3w)^6 \).

Solution

The expression that triples \( w \) and then raises the result to the 6th power is: \[ (3w)^6 \]

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Bonus Knowledge

To represent the sequence of operations, you start with the variable \( w \), triple it, which can be expressed as \( 3w \). After that, you take the result and raise it to the 6th power. Therefore, the expression is \( (3w)^6 \). Now, about exponentiation, did you know that it has roots in ancient civilizations? The Egyptians, for instance, utilized multiplication in building their impressive pyramids, showcasing their understanding of large numbers long before the formal concept of exponents came along! On the practical side, getting comfortable with exponent operations can help with real-world scenarios like calculating compound interest or measuring population growth. In finance, for instance, knowing how to handle powers can mean the difference between earning a little and earning a lot over time!

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