Evaluate. (-(1)/(3))^(3)=

Identify base and exponent: Identify the base and the exponent. In the expression (-(1)/(3))^(3), -(1/3) is the base raised to the exponent 3. Base: -(1/3) Exponent: 3Choose expanded form: Choose the expanded form of (-(1)/(3))^(3). The base is -(1/3) and the exponent is 3. So, (-(1)/(3))^(3) means -(1/3) is multiplied by itself 3 times. Expanded Form of (-(1)/(3))^(3): (-(1)/(3)) × (-(1)/(3)) × (-(1)/(3))Multiply for simplest form: Multiply to write in simplest form. (-(1)/(3))^(3) = (-(1)/(3)) × (-(1)/(3)) × (-(1)/(3)) = (-1 × -1 × -1) / (3 × 3 × 3) = -1 / 27 The simplest form of (-(1)/(3))^(3) is -1/27.

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Evaluate. $\newline$ $\left(-\frac{1}{3}\right)^{3}=$

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Math Problems

Grade 8

Powers with negative bases

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Q. Evaluate.

\newline

\left(-\frac{1}{3}\right)^{3}=

Identify base and exponent: Identify the base and the exponent. $\newline$ In the expression $\left(-\frac{1}{3}\right)^{3}$ , $-\frac{1}{3}$ is the base raised to the exponent $3$ . $\newline$ Base: $-\frac{1}{3}$ $\newline$ Exponent: $3$
Choose expanded form: Choose the expanded form of $\left(-\frac{1}{3}\right)^{3}$ . The base is $-\frac{1}{3}$ and the exponent is $3$ . So, $\left(-\frac{1}{3}\right)^{3}$ means $-\frac{1}{3}$ is multiplied by itself $3$ times. Expanded Form of $\left(-\frac{1}{3}\right)^{3}$ : $\left(-\frac{1}{3}\right) \times \left(-\frac{1}{3}\right) \times \left(-\frac{1}{3}\right)$
Multiply for simplest form: Multiply to write in simplest form. $\newline$ $(-\frac{1}{3})^{3}$ $\newline$ = $(-\frac{1}{3}) \times (-\frac{1}{3}) \times (-\frac{1}{3})$ $\newline$ = $(-1 \times -1 \times -1) / (3 \times 3 \times 3)$ $\newline$ = $-1 / 27$ $\newline$ The simplest form of $(-\frac{1}{3})^{3}$ is $-1/27$ .