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Evaluate. Write your answer as a fraction or whole number. $\newline$ $(\frac{1}{3})^4$ = $\_\_$

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Negative Exponents

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

\newline

(\frac{1}{3})^4

=

\_\_

Identify base and exponent: Identify the base and the exponent of $(\frac{1}{3})^4$ . $\newline$ In $(\frac{1}{3})^4$ , $\frac{1}{3}$ is the base raised to the exponent $4$ . $\newline$ Base: $\frac{1}{3}$ $\newline$ Exponent: $4$
Choose expanded form: Choose the expanded form of $(\frac{1}{3})^4$ . $(\frac{1}{3})^4$ means $\frac{1}{3}$ is multiplied by itself $4$ times. $\newline$ Expanded Form: $(\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3})$
Multiply for simplest form: $(\frac{1}{3})^4 = (\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3})$ $\newline$ Multiply to write in simplest form. $\newline$ $(\frac{1}{3})^4$ $\newline$ = $\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}$ $\newline$ = $\frac{1}{81}$ $\newline$ Simplest form: $\frac{1}{81}$

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