Evaluate. (-3(1)/(3))^(2)=

Identify Base and Exponent: Identify the base and the exponent. In the expression (-3(1)/(3))^2, -3(1)/(3) is the base raised to the exponent 2. Base: -3(1)/(3) Exponent: 2Simplify the Base: Simplify the base. The base -3(1)/(3) can be simplified by multiplying -3 by (1)/(3). -3(1)/(3) = -3 * (1)/(3) = -1Choose Expanded Form: Choose the expanded form of (-1)^2. The base is -1 and the exponent is 2. So, (-1)^2 means -1 is multiplied by itself 2 times. Expanded Form of (-1)^2: (-1) × (-1)Multiply to Simplify: (-1)^2 = (-1) × (-1) Multiply to write in simplest form. (-1)^2 = (-1) × (-1) = 1 The simplest form of (-1)^2 is 1.

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Evaluate. $\newline$ $\left(-3 \frac{1}{3}\right)^{2}=$

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Math Problems

Grade 8

Powers with negative bases

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Q. Evaluate.

\newline

\left(-3 \frac{1}{3}\right)^{2}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $(-3(1)/(3))^2$ , $-3(1)/(3)$ is the base raised to the exponent $2$ . $\newline$ Base: $-3(1)/(3)$ $\newline$ Exponent: $2$
Simplify the Base: Simplify the base. $\newline$ The base $-3\left(\frac{1}{3}\right)$ can be simplified by multiplying $-3$ by $\left(\frac{1}{3}\right)$ . $\newline$ $-3\left(\frac{1}{3}\right) = -3 \times \left(\frac{1}{3}\right) = -1$
Choose Expanded Form: Choose the expanded form of $(-1)^2$ . The base is $-1$ and the exponent is $2$ . So, $(-1)^2$ means $-1$ is multiplied by itself $2$ times. Expanded Form of $(-1)^2$ : $(-1) \times (-1)$
Multiply to Simplify: $(-1)^2 = (-1) \times (-1)$ $\newline$ Multiply to write in simplest form. $\newline$ $(-1)^2$ $\newline$ $= (-1) \times (-1)$ $\newline$ $= 1$ $\newline$ The simplest form of $(-1)^2$ is $1$ .