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Simplify. Express your answer using positive exponents.\newline(7z7)(9z2)(5z4)(7z^7)(9z^2)(5z^4)

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Simplify exponential expressions using the multiplication and division rulesright chevron icon

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Q. Simplify. Express your answer using positive exponents.\newline(7z7)(9z2)(5z4)(7z^7)(9z^2)(5z^4)
  1. Group coefficients and powers: Group the coefficients and powers that have the same base.\newline(7z7)(9z2)(5z4)(7z^7)(9z^2)(5z^4) can be rewritten as (7×9×5)×(z7×z2×z4)(7 \times 9 \times 5) \times (z^7 \times z^2 \times z^4).
  2. Calculate coefficient product: Calculate the product of the coefficients. 7×9×57 \times 9 \times 5 equals 63×563 \times 5, which equals 315315.
  3. Combine powers of z: Combine the powers of z by adding the exponents. z7×z2×z4z^7 \times z^2 \times z^4 can be written as z(7+2+4)z^{(7 + 2 + 4)}, which simplifies to z13.z^{13}.
  4. Write in simplest form: Write the expression in its simplest form.\newline(7z7)(9z2)(5z4)(7z^7)(9z^2)(5z^4) simplifies to 315×z13315 \times z^{13}, or 315z13315z^{13}.

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