Identify Base and Exponent: Identify the base and the exponent. In the expression -11^(2), -11 is the base and 2 is the exponent. Base: -11 Exponent: 2Choose Expanded Form: Choose the expanded form of -11^(2). The base is -11 and the exponent is 2. So, -11^(2) means -11 is multiplied by itself 2 times. Expanded Form of -11^(2): -11 × -11Multiply to Simplify: -11^(2) = -11 × -11 Multiply to write in simplest form. -11^(2) = -11 × -11 = 121 The simplest form of -11^(2) is 121.

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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-11^{2}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $-11^{2}$ , $-11$ is the base and $2$ is the exponent. $\newline$ Base: $-11$ $\newline$ Exponent: $2$
Choose Expanded Form: Choose the expanded form of $-11^{2}$ . The base is $-11$ and the exponent is $2$ . So, $-11^{2}$ means $-11$ is multiplied by itself $2$ times. Expanded Form of $-11^{2}$ : $-11 \times -11$
Multiply to Simplify: $-11^{2} = -11 \times -11$ $\newline$ Multiply to write in simplest form. $\newline$ $-11^{2}$ $\newline$ $= -11 \times -11$ $\newline$ $= 121$ $\newline$ The simplest form of $-11^{2}$ is $121$ .