Identify base and exponent: Identify the base and the exponent. In the expression 0.2^4, 0.2 is the base raised to the exponent 4. Base: 0.2 Exponent: 4Choose expanded form: Choose the expanded form of 0.2^4. The base is 0.2 and the exponent is 4. So, 0.2^4 means 0.2 is multiplied by itself 4 times. Expanded Form of 0.2^4: 0.2 × 0.2 × 0.2 × 0.2Multiply to simplify: 0.2^4 = 0.2 × 0.2 × 0.2 × 0.2 Multiply to write in simplest form. 0.2^4 = 0.2 × 0.2 × 0.2 × 0.2 = 0.04 × 0.2 × 0.2 = 0.008 × 0.2 = 0.0016 The simplest form of 0.2^4 is 0.0016.

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Evaluate. $\newline$ $0.2^{4}=$

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Math Problems

Grade 8

Powers with negative bases

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Q. Evaluate.

\newline

0.2^{4}=

Identify base and exponent: Identify the base and the exponent. $\newline$ In the expression $0.2^4$ , $0.2$ is the base raised to the exponent $4$ . $\newline$ Base: $0.2$ $\newline$ Exponent: $4$
Choose expanded form: Choose the expanded form of $0.2^4$ . $\newline$ The base is $0.2$ and the exponent is $4$ . $\newline$ So, $0.2^4$ means $0.2$ is multiplied by itself $4$ times. $\newline$ Expanded Form of $0.2^4$ : $\newline$ $0.2 \times 0.2 \times 0.2 \times 0.2$
Multiply to simplify: $0.2^4 = 0.2 \times 0.2 \times 0.2 \times 0.2$ $\newline$ Multiply to write in simplest form. $\newline$ $0.2^4$ $\newline$ $= 0.2 \times 0.2 \times 0.2 \times 0.2$ $\newline$ $= 0.04 \times 0.2 \times 0.2$ $\newline$ $= 0.008 \times 0.2$ $\newline$ $= 0.0016$ $\newline$ The simplest form of $0.2^4$ is $0.0016$ .