Simplify the expression. Assume all variables represent positive real numbers.
-$$\sqrt [ 4 ] { \frac { 625 } { 1296 } }$$
A) $\frac { 625 } { 1296 }$

B) $\frac { 125 } { 216 }$

C) $\frac { 25 } { 36 }$

D) $\frac { 5 } { 6 }$

Question

Simplify the expression. Assume all variables represent positive real numbers.
-$$\sqrt [ 4 ] { \frac { 625 } { 1296 } }$$
A) $\frac { 625 } { 1296 }$

B) $\frac { 125 } { 216 }$

C) $\frac { 25 } { 36 }$

D) $\frac { 5 } { 6 }$

Quizplus · Accepted Answer

The fourth root of $\frac{625}{1296}$ simplifies to $\frac{\sqrt[4]{625}}{\sqrt[4]{1296}}$, which is $\frac{5}{6}$ because $\sqrt[4]{625} = 5$ and $\sqrt[4]{1296} = 6$.

Simplify the Expression 62512964\sqrt [ 4 ] { \frac { 625 } { 1296 } }41296625​​

Simplify the Expression $\sqrt [ 4 ] { \frac { 625 } { 1296 } }$