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Simplify. Express your answer using a single exponent. $\newline$ $(w^{4})^{2}$

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Simplify exponential expressions using exponent rules

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Q. Simplify. Express your answer using a single exponent.

\newline

(w^{4})^{2}

Identify operation: Identify the operation needed for the exponents. $\newline$ When raising a power to a power, we multiply the exponents.
Apply exponent rule: Apply the exponent rule $(w^4)^2$ . We multiply the exponents $4$ and $2$ . $(w^4)^2 = w^{(4*2)} = w^8$

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