객관식
Simplify each expression using the product rule if possible.
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6. Exponents, Polynomials, and Polynomial Functions
The Product Rule
Multiple Choice
Simplify each expression.
A
B
C
D
검증된 단계별 안내1
Identify the expression to simplify: \((-5a^{2})(3a^{8})\).
Multiply the numerical coefficients: \(-5 \times 3\).
Apply the product rule for exponents on the variable \(a\): when multiplying like bases, add the exponents, so \(a^{2} \times a^{8} = a^{2+8}\).
Combine the results from the previous steps to write the simplified expression as the product of the new coefficient and the variable with the summed exponent.
Write the final simplified expression in the form \(-15a^{10}\) (without calculating the numeric value explicitly here).
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