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

question 114

Multiple Choice

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

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

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