Respuesta :

215 needs to be changed to make it a perfect cube

Answer:

Step-by-step explanation:

The given monomial is [tex]215x^{18}y^{3}z^{21}[/tex]

We have tell the number in monomial to be changed to make it perfect cube.

We will convert each term of this monomial to perfect cube one by one.

(1) [tex]z^{21}=(z^{7+7+7})=(z^{7})(z^{7})(z^{7}) = (z^{7})^{3}[/tex]

(2) y³ = already given in perfect cube.

(3) [tex]x^{18}=(x^{6})(x^{6})(x^{6})=(x^{6})^{3}[/tex]

(4) 215 = 5 × 43 can not be converted into perfect cube.

So 215 needs to be changed.