Identify base and exponent: Identify the base and the exponent. In the expression 0.1^3, 0.1 is the base raised to the exponent 3. Base: 0.1 Exponent: 3Choose expanded form: Choose the expanded form of 0.1^3. The base is 0.1 and the exponent is 3. So, 0.1^3 means 0.1 is multiplied by itself 3 times. Expanded Form of 0.1^3: 0.1 × 0.1 × 0.1Multiply to simplest form: 0.1^3 = 0.1 × 0.1 × 0.1 Multiply to write in simplest form. 0.1^3 = 0.1 × 0.1 × 0.1 = 0.001 The simplest form of 0.1^3 is 0.001.

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Evaluate. $\newline$ $0.1^{3}=$

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Math Problems

Grade 8

Powers with negative bases

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Q. Evaluate.

\newline

0.1^{3}=

Identify base and exponent: Identify the base and the exponent. $\newline$ In the expression $0.1^3$ , $0.1$ is the base raised to the exponent $3$ . $\newline$ Base: $0.1$ $\newline$ Exponent: $3$
Choose expanded form: Choose the expanded form of $0.1^3$ . $\newline$ The base is $0.1$ and the exponent is $3$ . $\newline$ So, $0.1^3$ means $0.1$ is multiplied by itself $3$ times. $\newline$ Expanded Form of $0.1^3$ : $\newline$ $0.1 \times 0.1 \times 0.1$
Multiply to simplest form: $0.1^3 = 0.1 \times 0.1 \times 0.1$ $\newline$ Multiply to write in simplest form. $\newline$ $0.1^3$ $\newline$ $= 0.1 \times 0.1 \times 0.1$ $\newline$ $= 0.001$ $\newline$ The simplest form of $0.1^3$ is $0.001$ .