Simplify. Express your answer using positive exponents. (7z^7)(9z^2)(5z^4) ______

Group coefficients and powers: Group the coefficients and powers that have the same base. (7z^7)(9z^2)(5z^4) can be rewritten as (7 * 9 * 5) * (z^7 * z^2 * z^4).Calculate coefficient product: Calculate the product of the coefficients. 7 * 9 * 5 equals 63 * 5, which equals 315.Combine powers of z: Combine the powers of z by adding the exponents. z^7 * z^2 * z^4 can be written as z^(7 + 2 + 4), which simplifies to z^13.Write in simplest form: Write the expression in its simplest form. (7z^7)(9z^2)(5z^4) simplifies to 315 * z^13, or 315z^13.

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Simplify. Express your answer using positive exponents. $\newline$ $(7z^7)(9z^2)(5z^4)$

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Algebra 1

Simplify exponential expressions using the multiplication and division rules

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Q. Simplify. Express your answer using positive exponents.

\newline

(7z^7)(9z^2)(5z^4)

Group coefficients and powers: Group the coefficients and powers that have the same base. $\newline$ $(7z^7)(9z^2)(5z^4)$ can be rewritten as $(7 \times 9 \times 5) \times (z^7 \times z^2 \times z^4)$ .
Calculate coefficient product: Calculate the product of the coefficients. $7 \times 9 \times 5$ equals $63 \times 5$ , which equals $315$ .
Combine powers of z: Combine the powers of z by adding the exponents. $z^7 \times z^2 \times z^4$ can be written as $z^{(7 + 2 + 4)}$ , which simplifies to $z^{13}.$
Write in simplest form: Write the expression in its simplest form. $\newline$ $(7z^7)(9z^2)(5z^4)$ simplifies to $315 \times z^{13}$ , or $315z^{13}$ .