Which expression is equivalent to open paren 2 x to the 4th power y close paren cubed ?
Answer
A
2 x to the 7th power y to the 4th power
B
8 x to the 7th power y to the 4th power
C
8 x to the 12th power y cubed
D
2 x to the 12th power y cubed
Explanation
Raise each factor inside the parentheses to the third power: (2x⁴y)³ = 2³ · (x⁴)³ · y³. This gives 8x¹²y³, so the equivalent expression is 8x to the 12th power y cubed.
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