Identify base and exponent: Identify the base and the exponent. In the expression 3^4, 3 is the base raised to the exponent 4. Base: 3 Exponent: 4Choose expanded form: Choose the expanded form of 3^4. The base is 3 and the exponent is 4. So, 3^4 means 3 is multiplied by itself 4 times. Expanded Form of 3^4: 3 × 3 × 3 × 3Multiply to simplest form: 3^4 = 3 × 3 × 3 × 3 Multiply to write in simplest form. 3^4 = 3 × 3 × 3 × 3 = 9 × 3 × 3 = 27 × 3 = 81 The simplest form of 3^4 is 81.

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Evaluate. $\newline$ $3^{4}=$

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Math Problems

Grade 8

Powers with negative bases

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Q. Evaluate.

\newline

3^{4}=

Identify base and exponent: Identify the base and the exponent. $\newline$ In the expression $3^4$ , $3$ is the base raised to the exponent $4$ . $\newline$ Base: $3$ $\newline$ Exponent: $4$
Choose expanded form: Choose the expanded form of $3^4$ . $\newline$ The base is $3$ and the exponent is $4$ . $\newline$ So, $3^4$ means $3$ is multiplied by itself $4$ times. $\newline$ Expanded Form of $3^4$ : $\newline$ $3 \times 3 \times 3 \times 3$
Multiply to simplest form: $3^4 = 3 \times 3 \times 3 \times 3$ $\newline$ Multiply to write in simplest form. $\newline$ $3^4$ $\newline$ $= 3 \times 3 \times 3 \times 3$ $\newline$ $= 9 \times 3 \times 3$ $\newline$ $= 27 \times 3$ $\newline$ $= 81$ $\newline$ The simplest form of $3^4$ is $81$ .