Question

Which number in the monomial 125x18y3z25 needs to be changed to make it a perfect cube?

Answer 1

z^25 needs to be z^24 to make a perfect cube

if z^24 then

125x^18y^3z^24 = 5^3 (x^6)^3 y^3 (z^8)^3

Answer 2

Answer:

$z^{25}$ has to be changed.

Step-by-step explanation:

The given monomial is $125x^{18}y^{3}z^{25}$.

If we see the separate terms of the monomial then we find that each term can be written in perfect cube form except z.

125 = 5³

$x^{18}=(x^{6})^{3}$

y³ is in cube form

$z^{25}$ is the only term which can be written in the perfect cube form if it is $z^{24}=(z^{8})^{3}$ or $z^{27}=(z^{9})^{3}$

So the answer is $z^{25}$