Identify base and exponent: Identify the base and the exponent. In the expression -9^(2), 9 is the base raised to the exponent 2, and the negative sign is outside the exponentiation. Base: 9 Exponent: 2Choose expanded form: Choose the expanded form of -9^(2). The base is 9 and the exponent is 2. So, -9^(2) means -1 times 9 multiplied by itself 2 times. Expanded Form of -9^(2): -1 × (9 × 9)Multiply to simplify: -9^(2) = -1 × (9 × 9) Multiply to write in simplest form. -9^(2) = -1 × (9 × 9) = -1 × 81 = -81 The simplest form of -9^(2) is -81.

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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-9^{2}=

Identify base and exponent: Identify the base and the exponent. $\newline$ In the expression $-9^{2}$ , $9$ is the base raised to the exponent $2$ , and the negative sign is outside the exponentiation. $\newline$ Base: $9$ $\newline$ Exponent: $2$
Choose expanded form: Choose the expanded form of $-9^{2}$ . The base is $9$ and the exponent is $2$ . So, $-9^{2}$ means $-1$ times $9$ multiplied by itself $2$ times. Expanded Form of $-9^{2}$ : $-1 \times (9 \times 9)$
Multiply to simplify: $-9^{2} = -1 \times (9 \times 9)$ $\newline$ Multiply to write in simplest form. $\newline$ $-9^{2}$ $\newline$ $= -1 \times (9 \times 9)$ $\newline$ $= -1 \times 81$ $\newline$ $= -81$ $\newline$ The simplest form of $-9^{2}$ is $-81$ .