Use the Rules of Exponents to Simplify the Expression $\left( 2 x ^ { 4 } y ^ { 6 } \right) ^ { - 2 }$

question 28

Multiple Choice

Use the rules of exponents to simplify the expression $\left( 2 x ^ { 4 } y ^ { 6 } \right) ^ { - 2 }$ using only positive exponents. Assume that neither x nor y is 0.

• A) \(2 x ^ { 2 } y ^ { 4 }\)
• B) \(\frac { 1 } { 4 x ^ { 8 } y ^ { 12 } }\)
• C) \(\frac { 1 } { 2 x ^ { 8 } y ^ { 12 } }\)
• D) \(4 x ^ { 2 } y ^ { 4 }\)
• E) \(\frac { 2 } { x ^ { 8 } y ^ { 12 } }\)

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