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Simplify the Expression (8x4y5z832x4y12z13)3\left( \frac { 8 x ^ { - 4 } y ^ { 5 } z ^ { - 8 } } { 32 x ^ { 4 } y ^ { 12 } z ^ { - 13 } } \right) ^ { 3 }

Question 114

Multiple Choice

Simplify the expression. (8x4y5z832x4y12z13) 3\left( \frac { 8 x ^ { - 4 } y ^ { 5 } z ^ { - 8 } } { 32 x ^ { 4 } y ^ { 12 } z ^ { - 13 } } \right) ^ { 3 }
Write the answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined.


A) z54x8y7\quad \frac { z ^ { 5 } } { 4 x ^ { 8 } y ^ { 7 } }
B) z1564x24y21\quad \frac { z ^ { 15 } } { 64 x ^ { 24 } y ^ { 21 } }
C) z1564x21y24\quad \frac { z ^ { 15 } } { 64 x ^ { 21 } y ^ { 24 } }
D) z1564x24y21\frac { z ^ { 15 } } { 64 x ^ { - 24 } y ^ { - 21 } }
E) z54x24y21\frac { z ^ { 5 } } { 4 x ^ { 24 } y ^ { 21 } }

Correct Answer:

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