MATH SOLVE

2 months ago

Q:
# Which expression is a perfect cube?

Accepted Solution

A:

Answer:Only [tex]y^{24}[/tex] is a perfect cube.Step-by-step explanation:[tex]x^{8}[/tex] is not a perfect cube because 8 is not a multiple of 3.
Now, [tex]y^{24}[/tex] is a perfect cube since 24 is a multiple of 3. So, [tex]y^{24}[/tex] can be expressed as [tex]y^{24} =y^{8+8+8}= y^{8} \times y^{8} \times y^{8}= (y^{8}) ^{3} [/tex] Again, [tex]m^{28}[/tex] is not a perfect cube as 28 is not a multiple of 3.
And also [tex]s^{64}[/tex] is not a perfect cube as 64 is not a multiple of 3. Therefore, only [tex]y^{24}[/tex] is a perfect cube. (Answer)