Identify base and exponent: Identify the base and the exponent. In the expression 0.3^3, 0.3 is the base raised to the exponent 3. Base: 0.3 Exponent: 3Choose expanded form: Choose the expanded form of 0.3^3. The base is 0.3 and the exponent is 3. So, 0.3^3 means 0.3 is multiplied by itself 3 times. Expanded Form of 0.3^3: 0.3 × 0.3 × 0.3Multiply to simplify: 0.3^3 = 0.3 × 0.3 × 0.3 Multiply to write in simplest form. 0.3^3 = 0.3 × 0.3 × 0.3 = 0.09 × 0.3 = 0.027 The simplest form of 0.3^3 is 0.027.

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Evaluate. $\newline$ $0.3^{3}=$

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Math Problems

Grade 8

Powers with negative bases

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Q. Evaluate.

\newline

0.3^{3}=

Identify base and exponent: Identify the base and the exponent. $\newline$ In the expression $0.3^3$ , $0.3$ is the base raised to the exponent $3$ . $\newline$ Base: $0.3$ $\newline$ Exponent: $3$
Choose expanded form: Choose the expanded form of $0.3^3$ . $\newline$ The base is $0.3$ and the exponent is $3$ . $\newline$ So, $0.3^3$ means $0.3$ is multiplied by itself $3$ times. $\newline$ Expanded Form of $0.3^3$ : $\newline$ $0.3 \times 0.3 \times 0.3$
Multiply to simplify: $0.3^3 = 0.3 \times 0.3 \times 0.3$ $\newline$ Multiply to write in simplest form. $\newline$ $0.3^3$ $\newline$ $= 0.3 \times 0.3 \times 0.3$ $\newline$ $= 0.09 \times 0.3$ $\newline$ $= 0.027$ $\newline$ The simplest form of $0.3^3$ is $0.027$ .