Simplify. 3a^(0)b*2b^(3)

Question Prompt: Question prompt: What is the simplified form of the expression 3a^(0)b*2b^(3)?Simplify Exponent: Simplify the term with the zero exponent, a^(0). Any number raised to the power of zero is 1. Therefore, a^(0) = 1. Calculation: a^(0) = 1Multiply Terms: Multiply the simplified term from Step 1 with the remaining terms in the expression. Since a^(0) = 1, the expression becomes 3 * 1 * b * 2 * b^(3). Calculation: 3 * 1 * b * 2 * b^(3) = 3 * b * 2 * b^(3)Combine Constants and Like Terms: Combine the constants and the like terms. The constants are 3 and 2, and the like terms are b and b^(3). Calculation: 3 * 2 = 6 and b * b^(3) = b^(1+3) = b^(4)Write Final Expression: Write the final simplified expression by multiplying the results from Step 3. Calculation: 6 * b^(4) = 6b^(4)

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Simplify. $\newline$ $3 a^{0} b \cdot 2 b^{3}$

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Algebra 2

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Q. Simplify.

\newline

3 a^{0} b \cdot 2 b^{3}

Question Prompt: Question prompt: What is the simplified form of the expression $3a^{0}b\ast2b^{3}$ ?
Simplify Exponent: Simplify the term with the zero exponent, $a^{0}$ . Any number raised to the power of zero is $1$ . Therefore, $a^{0} = 1$ . $\newline$ Calculation: $a^{0} = 1$
Multiply Terms: Multiply the simplified term from Step $1$ with the remaining terms in the expression. Since $a^{0} = 1$ , the expression becomes $3 \times 1 \times b \times 2 \times b^{3}$ . $\newline$ Calculation: $3 \times 1 \times b \times 2 \times b^{3} = 3 \times b \times 2 \times b^{3}$
Combine Constants and Like Terms: Combine the constants and the like terms. The constants are $3$ and $2$ , and the like terms are $b$ and $b^{3}$ . $\newline$ Calculation: $3 \times 2 = 6$ and $b \times b^{3} = b^{1+3} = b^{4}$
Write Final Expression: Write the final simplified expression by multiplying the results from Step $3$ . $\newline$ Calculation: $6 \times b^{4} = 6b^{4}$