Identify Base and Exponent: Identify the base and the exponent. In the expression (-3)^3, -3 is the base raised to the exponent 3. Base: -3 Exponent: 3Choose Expanded Form: Choose the expanded form of (-3)^3. The base is -3 and the exponent is 3. So, (-3)^3 means -3 is multiplied by itself 3 times. Expanded Form of (-3)^3: (-3) × (-3) × (-3)Multiply to Simplify: (-3)^3 = (-3) × (-3) × (-3) Multiply to write in simplest form. (-3)^3 = (-3) × (-3) × (-3) = (-3) × 9 = -27 The simplest form of (-3)^3 is -27.

Grade 8

Powers with negative bases

Full solution

Q. Evaluate.

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(-3)^{3}=

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In the expression $(-3)^3$ , $-3$ is the base raised to the exponent $3$ . $\newline$ Base: $-3$ $\newline$ Exponent: $3$
Choose Expanded Form: Choose the expanded form of $(-3)^3$ . The base is $-3$ and the exponent is $3$ . So, $(-3)^3$ means $-3$ is multiplied by itself $3$ times. Expanded Form of $(-3)^3$ : $(-3) \times (-3) \times (-3)$
Multiply to Simplify: $(-3)^3 = (-3) \times (-3) \times (-3)$ $\newline$ Multiply to write in simplest form. $\newline$ $(-3)^3$ $\newline$ $= (-3) \times (-3) \times (-3)$ $\newline$ $= (-3) \times 9$ $\newline$ $= -27$ $\newline$ The simplest form of $(-3)^3$ is $-27$ .