Identify Base and Exponent: Identify the base and the exponent. In the expression (-10)^2, -10 is the base raised to the exponent 2. Base: -10 Exponent: 2Choose Expanded Form: Choose the expanded form of (-10)^2. The base is -10 and the exponent is 2. So, (-10)^2 means -10 is multiplied by itself 2 times. Expanded Form of (-10)^2: (-10) × (-10)Multiply to Simplify: (-10)^2 = (-10) × (-10) Multiply to write in simplest form. (-10)^2 = (-10) × (-10) = 100 The simplest form of (-10)^2 is 100.

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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(-10)^{2}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $(-10)^2$ , $-10$ is the base raised to the exponent $2$ . $\newline$ Base: $-10$ $\newline$ Exponent: $2$
Choose Expanded Form: Choose the expanded form of $(-10)^2$ . The base is $-10$ and the exponent is $2$ . So, $(-10)^2$ means $-10$ is multiplied by itself $2$ times. Expanded Form of $(-10)^2$ : $(-10) \times (-10)$
Multiply to Simplify: $(-10)^2 = (-10) \times (-10)$ $\newline$ Multiply to write in simplest form. $\newline$ $(-10)^2$ $\newline$ $= (-10) \times (-10)$ $\newline$ $= 100$ $\newline$ The simplest form of $(-10)^2$ is $100$ .