Write the word or phrase that best completes each statement or answers the question.
Write the expression by using rational exponents rather than radical notation.
-$$\left( x ^ { 4 } y ^ { 8 } \right) ^ { 2 / 3 }$$
A) $x ^ { 8 / 3 } y ^ { 16 / 3 }$
B) $\frac { 2 } { 3 } x ^ { 4 } y ^ { 8 }$
C) $x ^ { 14 / 3 } y ^ { 26 / 3 }$
D) $x ^ { 4 } y ^ { 16 / 3 }$

Question

Quizplus · Accepted Answer

To convert the expression $\left( x ^ { 4 } y ^ { 8 } \right) ^ { 2 / 3 }$ to rational exponents, apply the power of a power rule by multiplying the exponents: $x^{(4*2/3)}y^{(8*2/3)} = x^{8/3}y^{16/3}$.

Write the Word or Phrase That Best Completes Each Statement (x4y8)2/3\left( x ^ { 4 } y ^ { 8 } \right) ^ { 2 / 3 }(x4y8)2/3

Write the Word or Phrase That Best Completes Each Statement $\left( x ^ { 4 } y ^ { 8 } \right) ^ { 2 / 3 }$