Simplify. Express your answer using positive exponents. (9k^4)(7k^4)(5k^8) ______

Multiply Coefficients: Multiply the coefficients (numerical parts) of the expression. We have three coefficients to multiply: 9, 7, and 5. 9 * 7 * 5 = 63 * 5 = 315Apply Product Rule: Apply the product rule for exponents to the variables. The product rule states that when multiplying like bases, you add the exponents. k^4 * k^4 * k^8 = k^(4+4+8) = k^16Combine Results: Combine the results from Step 1 and Step 2 to write the final simplified expression. The coefficient is 315 and the variable part is k^16. So, the simplified expression is 315k^16.

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Simplify. Express your answer using positive exponents. $\newline$ $(9k^4)(7k^4)(5k^8)$

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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

(9k^4)(7k^4)(5k^8)

Multiply Coefficients: Multiply the coefficients (numerical parts) of the expression. $\newline$ We have three coefficients to multiply: $9$ , $7$ , and $5$ . $\newline$ $9 \times 7 \times 5 = 63 \times 5 = 315$
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. $\newline$ $k^4 \times k^4 \times k^8 = k^{(4+4+8)} = k^{16}$
Combine Results: Combine the results from Step $1$ and Step $2$ to write the final simplified expression. $\newline$ The coefficient is $315$ and the variable part is $k^{16}$ . $\newline$ So, the simplified expression is $315k^{16}$ .