Simplify. Express your answer using positive exponents. (6g^8)(7g^3)(4g^3) ______

Multiply Coefficients: Multiply the coefficients (numerical parts) of the terms. We have the coefficients 6, 7, and 4. Multiplying these together gives us: 6 * 7 * 4 = 42 * 4 = 168Apply Product Rule: Apply the product rule for exponents to the variables. The product rule states that when multiplying like bases, you add the exponents. We have g^8, g^3, and g^3. Adding the exponents gives us: 8 + 3 + 3 = 14 So, g^8 * g^3 * g^3 = g^(8+3+3) = g^14Combine Results: Combine the results from Step 1 and Step 2 to write the final simplified expression. We have the coefficient 168 from Step 1 and the variable part g^14 from Step 2. Combining these gives us: 168g^14

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Grade 8

Multiply and divide powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

(6g^8)(7g^3)(4g^3)

Multiply Coefficients: Multiply the coefficients (numerical parts) of the terms. $\newline$ We have the coefficients $6$ , $7$ , and $4$ . Multiplying these together gives us: $\newline$ $6 \times 7 \times 4 = 42 \times 4 = 168$
Apply Product Rule: Apply the product rule for exponents to the variables. $\newline$ The product rule states that when multiplying like bases, you add the exponents. We have $g^8$ , $g^3$ , and $g^3$ . Adding the exponents gives us: $\newline$ $8 + 3 + 3 = 14$ $\newline$ So, $g^8 \times g^3 \times g^3 = g^{8+3+3} = g^{14}$
Combine Results: Combine the results from Step $1$ and Step $2$ to write the final simplified expression. $\newline$ We have the coefficient $168$ from Step $1$ and the variable part $g^{14}$ from Step $2$ . Combining these gives us: $\newline$ $168g^{14}$