Advanced Math practice question

Answer: A. 27x⁶y³

A power of a product raises every factor to that power: 3³ · (x²)³ · y³ = 27 · x⁶ · y³. Raising a power to a power multiplies the exponents, so (x²)³ = x⁶.

Why the other answers are wrong

B. 9x⁶y³

3³ is 27, not 9 — the coefficient was squared rather than cubed. Every factor, including the number, gets the exponent 3.

C. 27x⁵y³

(x²)³ multiplies the exponents to give x⁶. Adding them (2 + 3 = 5) is the rule for multiplying x² by x³, which isn't what's happening here.

D. 3x⁶y³

The coefficient 3 is a factor inside the parentheses, so it's cubed too: 3³ = 27.

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