Identify Base and Exponent: Identify the base and the exponent. In the expression -1^(4), -1 is the base raised to the exponent 4. Base: -1 Exponent: 4Choose Expanded Form: Choose the expanded form of -1^(4). The base is -1 and the exponent is 4. So, -1^(4) means -1 is multiplied by itself 4 times. Expanded Form of -1^(4): (-1) × (-1) × (-1) × (-1)Multiply to Simplify: -1^(4) = (-1) × (-1) × (-1) × (-1) Multiply to write in simplest form. -1^(4) = (-1) × (-1) × (-1) × (-1) = 1 The simplest form of -1^(4) is 1.

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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-1^{4}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $-1^{4}$ , $-1$ is the base raised to the exponent $4$ . $\newline$ Base: $-1$ $\newline$ Exponent: $4$
Choose Expanded Form: Choose the expanded form of $-1^{4}$ . The base is $-1$ and the exponent is $4$ . So, $-1^{4}$ means $-1$ is multiplied by itself $4$ times. Expanded Form of $-1^{4}$ : $(-1) \times (-1) \times (-1) \times (-1)$
Multiply to Simplify: $-1^{4} = (-1) \times (-1) \times (-1) \times (-1)$ $\newline$ Multiply to write in simplest form. $\newline$ $-1^{4}$ $\newline$ $= (-1) \times (-1) \times (-1) \times (-1)$ $\newline$ $= 1$ $\newline$ The simplest form of $-1^{4}$ is $1$ .