Identify Base and Exponent: Identify the base and the exponent. In the expression (-1)^3, -1 is the base raised to the exponent 3. Base: -1 Exponent: 3Choose Expanded Form: Choose the expanded form of (-1)^3. The base is -1 and the exponent is 3. So, (-1)^3 means -1 is multiplied by itself 3 times. Expanded Form of (-1)^3: (-1) × (-1) × (-1)Multiply to Simplify: (-1)^3 = (-1) × (-1) × (-1) Multiply to write in simplest form. (-1)^3 = (-1) × (-1) × (-1) = -1 The simplest form of (-1)^3 is -1.

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

\newline

(-1)^{3}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $(-1)^3$ , $-1$ is the base raised to the exponent $3$ . $\newline$ Base: $-1$ $\newline$ Exponent: $3$
Choose Expanded Form: Choose the expanded form of $(-1)^3$ . The base is $-1$ and the exponent is $3$ . So, $(-1)^3$ means $-1$ is multiplied by itself $3$ times. Expanded Form of $(-1)^3$ : $(-1) \times (-1) \times (-1)$
Multiply to Simplify: $(-1)^3 = (-1) \times (-1) \times (-1)$ $\newline$ Multiply to write in simplest form. $\newline$ $(-1)^3$ $\newline$ $= (-1) \times (-1) \times (-1)$ $\newline$ $= -1$ $\newline$ The simplest form of $(-1)^3$ is $-1$ .