Rewrite the Expression Using Only Positive Exponents, and Simplify $\frac { \left( 2 a ^ { - 3 } b ^ { 2 } \right) ^ { 3 } b } { \left( 10 a ^ { 4 } b \right) ^ { 4 } }$

question 46

Multiple Choice

Rewrite the expression using only positive exponents, and simplify. Assume that any variables in the expression are nonzero.
$\frac { \left( 2 a ^ { - 3 } b ^ { 2 } \right) ^ { 3 } b } { \left( 10 a ^ { 4 } b \right) ^ { 4 } }$

• A) \(\frac { b ^ { 3 } } { 5 a ^ { 25 } }\)
• B) \(\frac { b ^ { 3 } } { 1,250 a ^ { 25 } }\)
• C) \(\frac { b ^ { 3 } } { 5 a ^ { 24 } }\)
• D) \(\frac { b ^ { 2 } } { 5 a ^ { 24 } }\)
• E) \(\frac { b ^ { 2 } } { 1,250 a ^ { 25 } }\)

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