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Simplify. Express your answer using positive exponents.(2z)(7z4)

Question

Simplify. Express your answer using positive exponents.(2z)(7z4)

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Solution

To simplify the expression (2z)(7z^4), you need to multiply the coefficients (the numbers) and add the exponents of the variables (the z's).

Step 1: Multiply the coefficients 2 * 7 = 14

Step 2: Multiply the variables Since there is no exponent next to the first z, it is understood to be 1 (z^1). When you multiply variables, you add the exponents. z^1 * z^4 = z^(1+4) = z^5

So, (2z)(7z^4) simplifies to 14z^5.

This problem has been solved

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