SOLUTION: Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers: ∛y16 * ∛(16y^14)
Algebra ->
Radicals
-> SOLUTION: Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers: ∛y16 * ∛(16y^14)
Log On
Question 454954: Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers: ∛y16 * ∛(16y^14) Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers: ∛y16 * ∛(16y^14)
..
Assume this symbol means cube root √
√(y16)(√(16y^14)
Inside the radical break up terms into terms with exponents=3 or multiples of 3
√(y*2^3*2)(√(2^3*2*y^12*y^2)
pull out terms with exponents=3 or multiples of 3 (in effect, taking the cube root of these terms)
(2√2y)(2y^4√2y^2)
multiply terms
4y^4√4y^3
pull out y^3
4y^5√4
ans:
4y^5 cube root(4)
(