Simplify the Expression $\sqrt [ 5 ] { a ^ { 3 } b } \cdot \sqrt [ 5 ] { a ^ { 7 } b }$

question 66

Multiple Choice

Simplify the expression. Assume the letters denote any real numbers. $\sqrt [ 5 ] { a ^ { 3 } b } \cdot \sqrt [ 5 ] { a ^ { 7 } b }$

• A) \(b ^ { 5 } \sqrt [ 5 ] { a ^ { 2 } }\)
• B) \(a ^ { 2 } \sqrt [ 5 ] { b }\)
• C) \(a ^ { 5 } \sqrt { b ^ { 2 } }\)
• D) \(a ^ { 2 } \sqrt [ 5 ] { b ^ { 2 } }\)
• E) \(a ^ { 2 } b ^ { 2 } \sqrt { 5 }\)

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