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Evaluate. Write your answer as a fraction or whole number. $\newline$ $(\frac{1}{2})^4 =$ _____

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Negative Exponents

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Q. Evaluate. Write your answer as a fraction or whole number.

\newline

(\frac{1}{2})^4 =

_____

Identify Base and Exponent: Identify the base and the exponent of $(\frac{1}{2})^4$ . $\newline$ In $(\frac{1}{2})^4$ , $\frac{1}{2}$ is the base raised to the exponent $4$ . $\newline$ Base: $\frac{1}{2}$ $\newline$ Exponent: $4$
Choose Expanded Form: Choose the expanded form of $(\frac{1}{2})^4$ $(\frac{1}{2})^4$ means $\frac{1}{2}$ is multiplied by itself $4$ times. Expanded Form: $(\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2})$
Multiply to Simplify: $(\frac{1}{2})^4 = (\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2})$ $\newline$ Multiply to write in simplest form. $\newline$ $(\frac{1}{2})^4$ $\newline$ $= (\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2})$ $\newline$ $= \frac{1}{16}$ $\newline$ Simplest form: $\frac{1}{16}$ .

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