Write start fraction, 5 square root y^8 cubed/^3 cubed y^4 as a single radical using the smallest possible root




start fraction, 5 square root y^8 cubed/^3 cubed y^4 = 5√((y^8)^3/(y^4)^3)

Simplifying further, we can write it as:

5√((y^24)/(y^12))

Now, we can cancel out the common factor of y^12 from the numerator and denominator:

5√(y^24/y^12) = 5√(y^12)

Therefore, the final expression in radical form using the smallest possible root is:

5y^6