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1 vote
Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?

3
18
21
215

2 Answers

1 vote

Answer: E2020 = 215

Explanation:

User Sujith Kp
by
7.7k points
2 votes
remember
xyz=(x)(y)(z)
if x and y and z are all perfect cubes, xyz is also a perfect cube

remmeber
(x^n)^m=x^(mn)
so if it is perfect cube it can be factored into
(x^n)^3, such taht n is a whole number
basiclaly, see if the expoent is divisble by 3

all of them should be perfect cubes

215x^18y^3z^21

split them up to see which ones need changing

215=5*43, not a perfect cube
could be changed to 6^3, which is 216

x^18=(x^6)^3

y^3=y^3
z^21=(z^7)^3

the 215 needs to be changed
User George T
by
7.6k points

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