Identify Base and Exponent: Identify the base and the exponent. In the expression -1^5, -1 is the base raised to the exponent 5. Base: -1 Exponent: 5Choose Expanded Form: Choose the expanded form of -1^5. The base is -1 and the exponent is 5. So, -1^5 means -1 is multiplied by itself 5 times. Expanded Form of -1^5: -1 × -1 × -1 × -1 × -1Multiply to Simplify: -1^5 = -1 × -1 × -1 × -1 × -1 Multiply to write in simplest form. -1^5 = (-1) × (-1) × (-1) × (-1) × (-1) = -1 The simplest form of -1^5 is -1.

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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-1^{5}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $-1^5$ , $-1$ is the base raised to the exponent $5$ . $\newline$ Base: $-1$ $\newline$ Exponent: $5$
Choose Expanded Form: Choose the expanded form of $-1^5$ . The base is $-1$ and the exponent is $5$ . So, $-1^5$ means $-1$ is multiplied by itself $5$ times. Expanded Form of $-1^5$ : $-1 \times -1 \times -1 \times -1 \times -1$
Multiply to Simplify: $-1^5 = -1 \times -1 \times -1 \times -1 \times -1$ $\newline$ Multiply to write in simplest form. $\newline$ $-1^5$ $\newline$ $= (-1) \times (-1) \times (-1) \times (-1) \times (-1)$ $\newline$ $= -1$ $\newline$ The simplest form of $-1^5$ is $-1$ .