Simplify the Expression Write the Answer Without Using Negative Exponents $\quad \frac { 512 z ^ { 29 } } { 625 y ^ { 12 } }$

question 130

Multiple Choice

Simplify the expression. $$\frac { \left( 8 ^ { - 2 } z ^ { - 5 } y \right) ^ { - 2 } } { \left( 5 y ^ { 2 } z ^ { - 5 } \right) ^ { 5 } \left( 5 y z ^ { - 5 } \right) ^ { - 1 } }$$
Write the answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined.

• A) \(\quad \frac { 512 z ^ { 29 } } { 625 y ^ { 12 } }\)
• B) \(\quad \frac { 625 y ^ { 11 } } { 4096 z ^ { 30 } }\)
• C) \(\quad \frac { 4096 z ^ { 30 } } { 625 y ^ { 11 } }\)
• D) \(\frac { 4096 z ^ { 11 } } { 625 y ^ { 30 } }\)

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