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Rewrite the Expression Using Only Positive Exponents, and Simplify (2a3b2)3b(10a4b)4\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.
(2a3b2) 3b(10a4b) 4\frac { \left( 2 a ^ { - 3 } b ^ { 2 } \right) ^ { 3 } b } { \left( 10 a ^ { 4 } b \right) ^ { 4 } }


A) b35a25\frac { b ^ { 3 } } { 5 a ^ { 25 } }
B) b31,250a25\frac { b ^ { 3 } } { 1,250 a ^ { 25 } }
C) b35a24\frac { b ^ { 3 } } { 5 a ^ { 24 } }
D) b25a24\frac { b ^ { 2 } } { 5 a ^ { 24 } }
E) b21,250a25\frac { b ^ { 2 } } { 1,250 a ^ { 25 } }

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