Identify Base and Exponent: Identify the base and the exponent. In the expression (-8)^2, -8 is the base raised to the exponent 2. Base: -8 Exponent: 2Choose Expanded Form: Choose the expanded form of (-8)^2. The base is -8 and the exponent is 2. So, (-8)^2 means -8 is multiplied by itself 2 times. Expanded Form of (-8)^2: (-8) × (-8)Multiply to Simplify: (-8)^2 = (-8) × (-8) Multiply to write in simplest form. (-8)^2 = (-8) × (-8) = 64 The simplest form of (-8)^2 is 64.

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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(-8)^{2}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $(-8)^2$ , $-8$ is the base raised to the exponent $2$ . $\newline$ Base: $-8$ $\newline$ Exponent: $2$
Choose Expanded Form: Choose the expanded form of $(-8)^2$ . The base is $-8$ and the exponent is $2$ . So, $(-8)^2$ means $-8$ is multiplied by itself $2$ times. Expanded Form of $(-8)^2$ : $(-8) \times (-8)$
Multiply to Simplify: $(-8)^2 = (-8) \times (-8)$ $\newline$ Multiply to write in simplest form. $\newline$ $(-8)^2$ $\newline$ $= (-8) \times (-8)$ $\newline$ $= 64$ $\newline$ The simplest form of $(-8)^2$ is $64$ .