Use rational exponents to write as a single radical expression.
-$\frac { \sqrt [ 7 ] { \mathrm { y } } } { \sqrt [ 8 ] { \mathrm { y } } }$
A) $\sqrt [ 8 ] { \mathrm { y } ^ { 7 } }$
B) $\sqrt [ 56 ] { \mathrm { y } }$
C) $y$
D) $\frac { 1 } { \sqrt { y } }$

Question

Quizplus · Accepted Answer

The expression can be rewritten using rational exponents as $y^{1/7} / y^{1/8}$. Simplifying this gives $y^{(1/7)-(1/8)} = y^{1/56}$, which corresponds to $\sqrt[56]{y}$.

Use Rational Exponents to Write as a Single Radical Expression y7y8\frac { \sqrt [ 7 ] { \mathrm { y } } } { \sqrt [ 8 ] { \mathrm { y } } }8y​7y​​

Use Rational Exponents to Write as a Single Radical Expression $\frac { \sqrt [ 7 ] { \mathrm { y } } } { \sqrt [ 8 ] { \mathrm { y } } }$