Identify Base and Exponent: Identify the base and the exponent. In the expression (-2)^2, -2 is the base raised to the exponent 2. Base: -2 Exponent: 2Choose Expanded Form: Choose the expanded form of (-2)^2. The base is -2 and the exponent is 2. So, (-2)^2 means -2 is multiplied by itself 2 times. Expanded Form of (-2)^2: (-2) × (-2)Multiply to Simplify: (-2)^2 = (-2) × (-2) Multiply to write in simplest form. (-2)^2 = (-2) × (-2) = 4 The simplest form of (-2)^2 is 4.

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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(-2)^{2}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $(-2)^2$ , $-2$ is the base raised to the exponent $2$ . $\newline$ Base: $-2$ $\newline$ Exponent: $2$
Choose Expanded Form: Choose the expanded form of $(-2)^2$ . The base is $-2$ and the exponent is $2$ . So, $(-2)^2$ means $-2$ is multiplied by itself $2$ times. Expanded Form of $(-2)^2$ : $(-2) \times (-2)$
Multiply to Simplify: $(-2)^2 = (-2) \times (-2)$ $\newline$ Multiply to write in simplest form. $\newline$ $(-2)^2$ $\newline$ $= (-2) \times (-2)$ $\newline$ $= 4$ $\newline$ The simplest form of $(-2)^2$ is $4$ .