Advanced Math practice question

Answer: A. −12a³b⁴

Multiply the coefficients: 4 × (−3) = −12. Add the exponents of like bases: a² · a = a³ and b · b³ = b⁴. Result: −12a³b⁴.

Why the other answers are wrong

B. −12a²b³

The exponents were multiplied (2 × 1, 1 × 3) instead of added. a² · a¹ = a³, b¹ · b³ = b⁴.

C. 12a³b⁴

4 × (−3) is −12; the sign was dropped.

D. a³b⁴

The coefficients 4 and −3 were left out; they multiply to −12.

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