Little confused on this one

[knight247]

What is the value of m?
(1)8*m^2=8^2*m
(2)m is an integer

Detailed explanations would be appreciated. Thanks

[Anurag@Gurome]

What is the value of m?
(1)8*m^2=8^2*m
(2)m is an integer

I assume 8^2*m in statement 2 means (8^2)*m not 8^(2m).

From statement 1, 8*(m^2) = (8^2)*m ----> 8m^2 - 64m = 0 ----> m(m - 8) = 0
Hence, value of m is either 0 or 8.

Now 0 and 8 are both integers. Hence statement 2 together with statement 1 doesn't add any new information. Hence, both statements together is not sufficient.

The correct answer is E.

[knight247]

Anurag,
You're right. Statement 1 says (8)(m^2)=(8^2)(m)
Ok, I have a bit of a silly question....Why can't I just cancel 8*m on either side and get m=8 ?

[Anurag@Gurome]

Anurag,
You're right. Statement 1 says (8)(m^2)=(8^2)(m)
Ok, I have a bit of a silly question....Why can't I just cancel 8*m on either side and get m=8 ?

Because that will discard the possibility of m = 0.