Use Properties of Rational Exponents to Simplify the Expression $$\left( x ^ { - 1 / 4 } y ^ { 7 / 5 } \right) ^ { 3 / 4 }$$

question 40

Multiple Choice

Use properties of rational exponents to simplify the expression. Assume that any variables represent positive numbers.
- $$\left( x ^ { - 1 / 4 } y ^ { 7 / 5 } \right) ^ { 3 / 4 }$$

• A) \(x ^ { 1 / 2 } y ^ { 43 / 12 }\)
• B) \(x ^ { 3 / 16 } y ^ { 21 / 20 }\)
• C) \(\frac { y ^ { 21 / 20 } } { 3 / 16 }\)
• D) \(- x ^ { 3 / 16 } y ^ { 21 / 20 }\)