Write each of the following using positive rational exponents. Match each expression with the corresponding expression.
-$$\frac { 11 } { 13 }$$
$4 y$
A) $4 \sqrt [ 13 ] { y ^ { 11 } }$
B) $4 \sqrt [ 11 ] { y ^ { 13 } }$

Question

Write each of the following using positive rational exponents. Match each expression with the corresponding expression.
-$$\frac { 11 } { 13 }$$
$4 y$ 
A) $4 \sqrt [ 13 ] { y ^ { 11 } }$ 
B) $4 \sqrt [ 11 ] { y ^ { 13 } }$

Quizplus · Accepted Answer

The expression $4y$ can be rewritten with a rational exponent by recognizing that the exponent on $y$ is implicitly 1. To match the given fraction $\frac{11}{13}$, we rewrite $y$ as $y^{11/13}$, which corresponds to the 13th root of $y^{11}$, hence $4 \sqrt[13]{y^{11}}$.

Write Each of the Following Using Positive Rational Exponents 1113\frac { 11 } { 13 }1311​

Write Each of the Following Using Positive Rational Exponents $\frac { 11 } { 13 }$