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