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

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Negative Exponents

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

\newline

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

=

\_\_

Identify Base and Exponent: Identify the base and the exponent of $(\frac{3}{4})^3$ . $\newline$ In $(\frac{3}{4})^3$ , $\frac{3}{4}$ is the base raised to the exponent $3$ . $\newline$ Base: $\frac{3}{4}$ $\newline$ Exponent: $3$
Choose Expanded Form: Choose the expanded form of $(\frac{3}{4})^3$ $(\frac{3}{4})^3$ means $\frac{3}{4}$ is multiplied by itself $3$ times. Expanded Form: $(\frac{3}{4} \times \frac{3}{4} \times \frac{3}{4})$
Multiply Numerators and Denominators: $(3/4)^3 = (3/4 \times 3/4 \times 3/4)$ $\newline$ Multiply the numerators and the denominators separately to write in simplest form. $\newline$ $(3/4)^3$ $\newline$ $= (3 \times 3 \times 3) / (4 \times 4 \times 4)$ $\newline$ $= 27/64$ $\newline$ Simplest form: $27/64$

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