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) × (-1)Multiply for Simplest Form: 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 for Simplest Form: 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 $-1$ .