let's rewrite this whole expression down here, let's try in terms of things that are perfect cube and things that aren't, so 27 can be just rewritten as 3 to the third power, then you have a squared, clearly not a perfect cube, but if the third would have been so we just gonna write this, let me write it over here we can switch the order here, cause we just have a bunch of things being multiple by each other, so i'll write the a squared over here,b to the fifth b to the fifth is not a perfect cube by itself it can be, it can be expressed as a product of a perfect cube in another thing, b to the fifth is the exact same thing as the b to the third power times b to the second power if you wanna see that explicitly b to the fifth is b times b times b times b times b so this, the first three are clearly b to the third power and then you have b to the second power after it, so we can rewrite b to the fifth as a product of a perfect cube, so i'll write b to the third (doing the same purple colour) so we have b to the third power over here and this b to the thirds times b squared, so i'll write the b squared over here, we assume we gonna multiply all this stuff, and then finally finally, we have(other than blue) c to the third power, clearly this is a perfect cube it is c cube,it is c to the third power, so i'll put it over here, so this is c to the third power, and of cause we still have that over arching radical sign, so we still trying to take the cube root of all of this, and we know from our exponent properties, or we could say from our radical properties that this is the exact same thing, that taking the cube root of all of this things is the same as taking the cube root of these individual factors and then multiplying them, so this is the same thing as the cube root, and I can separate them out individually or I could say that cube root of 3 to the third, b to the third c to the third,I'll have to use it both ways, so i'll start taking them out separately, so this is the same thing as the cube root of three to the third times the cube root ( I'll write them all it, while I write do it we'll colour code so we all don't get confused ) times the cube root of to b to the third times the cube root times the cube root of c to the third c to the third, times the cube root and i'll just group these two guys together just because we're not gonna be able to simply them anymore, times the cube root, times the cube root of a squared b squared ( I'll keep the colour consistent while we are trying to figure out what's what ) a squared, b squared, now I could have, could have said that this is times the cube root of a squared times the cube root of b squared, but that won't simplify anything, but that won't simplify anything so i'll just leave these like this, and so we can look as these individually the cube root of 3 to the third or the cube root of 27, well that's clearly just gonna be ( i'm gonna do that in that yellow colour ) this is clearly just gonna be 3 right, 3 to the third power is three to the third power or it is equal to 27, this term right over here, the cube root of b to the third, well that is just b, that's just b and the cube root of c to the third, the cube root of c to the third, well that is clearly (won't do that in that ) that is clearly just c