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Simplify the expression using exponent rules.
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0. Fundamental Concepts of Algebra
Exponents
Multiple Choice
Simplify the expression using exponent rules.
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검증된 단계별 안내1
Identify the expression to simplify: \((-5a^2)(3a^8)\).
Apply the commutative property of multiplication to rearrange the terms: \((-5) \cdot (3) \cdot (a^2) \cdot (a^8)\).
Multiply the numerical coefficients: \(-5 \times 3 = -15\).
Use the product of powers property for the variables: \(a^2 \cdot a^8 = a^{2+8} = a^{10}\).
Combine the results to get the simplified expression: \(-15a^{10}\).
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