Simplify the exponential expression (3x^3 y^2)^3.
Answer and explanation
Correct answer: C. 27x^9 y^6
- Step 1: Distribute the outer exponent: 3^3 (x^3)^3 (y^2)^3. Step 2. Compute 3^3 = 27, (x^3)^3 = x^9, and (y^2)^3 = y^6. Answer: 27x^9 y^6. Why not the others: 9 forgets to cube 3; x^6 y^5 adds exponents instead of multiplying; x^27 raises power to power as exponentiation.
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