Pregunta
Simplify. \[ \left(w^{4}\right)^{4} \] Write your answer without parentheses.
Ask by Cole Macdonald. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( w^{16} \)
Solución
1. Start with the expression:
\[
\left(w^{4}\right)^{4}
\]
2. Apply the power of a power rule, which states:
\[
\left(a^m\right)^n = a^{m \cdot n}
\]
3. Multiply the exponents:
\[
4 \cdot 4 = 16
\]
4. The simplified expression is:
\[
w^{16}
\]
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Simplifique esta solución Bonus Knowledge
To simplify \(\left(w^{4}\right)^{4}\), you can use the power of a power property of exponents, which states that \((a^m)^n = a^{m \cdot n}\). Applying this rule here, you multiply the exponents: \[ \left(w^{4}\right)^{4} = w^{4 \cdot 4} = w^{16} \] So the simplified result is \(w^{16}\).
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