Which of the following expression is not equivalent to (16y)^3/4? a. ^4√16y^3 b. 8^4√y^3 c. 8y^3/4 d. 16^3/4 y^3/4 ^ means to the power of/above

If the expression is      and the choices are    then choice c is the correct choice for this question as it is not equivalent.    refresh page if you see display errors in the explanation======at a glance, if you compare  with  , they do not look equivalent. since they are both raised to the same power, the stuff inside of the exponented expression must be the same as the other to get something "equivalent." we have an 8 where there should be a 16. choice c is not equivalent.======if you're interested, i will go through all the other choiceswe have this property of exponents:     applying this right away to our initial expression, we have    so we can assert that choice d is equivalent and therefore not a correct choice for this question.we also have this exponent property:     which tells us that    this is equivalent to choice a. choice a is incorrect for this question.from here, we  can rewrite  as  and then use the property      note that  so we use another property    to split this up. then we use the property  to rewrite the radical as an fractional exponent. then we simplify that fraction to 3, evaluate 2^3 and get 8.    so choice b is equivalent and therefore incorrect for this question.