Scelta multipla
Simplify each expression.
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6. Exponents, Polynomials, and Polynomial Functions
The Product Rule
Scelta multipla
Simplify each expression using the product rule if possible.
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Identify the expression to simplify: \(z \cdot z^{6} \cdot z^{4}\).
Recall the product rule for exponents: when multiplying powers with the same base, add the exponents. That is, \(a^{m} \cdot a^{n} = a^{m+n}\).
Rewrite the expression by expressing the first \(z\) as \(z^{1}\) to make all terms have exponents: \(z^{1} \cdot z^{6} \cdot z^{4}\).
Add the exponents together: \(1 + 6 + 4\).
Write the simplified expression as a single power: \(z^{(1+6+4)}\).
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