Identify Base and Exponent: Identify the base and the exponent. In the expression (-1)^2, -1 is the base raised to the exponent 2. Base: -1 Exponent: 2Choose 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.

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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(-1)^{2}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $(-1)^2$ , $-1$ is the base raised to the exponent $2$ . $\newline$ Base: $-1$ $\newline$ Exponent: $2$
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 $1$ .