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What is 2x2y4z5⋅4x3y5z2 ?(1 point) Responses 8x5y9z7 8 x superscript 5 baseline y superscript 9 baseline z superscript 7 baseline 8x6y9z7 8 x superscript 6 baseline y superscript 9 baseline z superscript 7 baseline 6x5y9z7 6 x superscript 5 baseline y superscript 9 baseline z superscript 7 baseline 8x6y20z10

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To multiply the two expressions \( 2x^{2}y^{4}z^{5} \) and \( 4x^{3}y^{5}z^{2} \), we follow the process of multiplying the coefficients and adding the exponents for like bases.

  1. Multiply the coefficients: \( 2 \cdot 4 = 8 \)

  2. Add the exponents for \(x\): \[ 2 + 3 = 5 \quad \Rightarrow \quad x^{5} \]

  3. Add the exponents for \(y\): \[ 4 + 5 = 9 \quad \Rightarrow \quad y^{9} \]

  4. Add the exponents for \(z\): \[ 5 + 2 = 7 \quad \Rightarrow \quad z^{7} \]

Now, combine all parts together:

\[ 8x^{5}y^{9}z^{7} \]

Thus, the result of \( 2x^{2}y^{4}z^{5} \cdot 4x^{3}y^{5}z^{2} \) is:

\[ \boxed{8x^{5}y^{9}z^{7}} \]