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I think the answer is D as both statements give the same answer.

64 raised to the power 5 is the same as 4 raised to the power 15 i.e 64^5 is the same as (4^3)^5 = 4^15 same as statement 2.

For the working: Now the cube root of 4^15 will be (4^15)^1/3 i.e. 15 times 1/3=5 (just for kicks is 1024) Hope this helps! If I am wrong pls can someone correct me?!

Agreed its D! Is the root is of an odd number, then the sign is restored. Since both 5 and 15 are off, we can compute w and hence calculate the 3rd root!

Agreed its D! Is the root is of an odd number, then the sign is restored. Since both 5 and 15 are off, we can compute w and hence calculate the 3rd root!

agree with D. almost forgot about the 'evil evens'.

Surely its D. From statement 1, taking each side to the power of (5/3), we get the cube root as 1024. Again from statement 2, taking each side to the power of 5, we get the same answer. Hence the result follows.

1st The 5th root of w is 64. hence w=64^5
cube root of 64^5 suff
2 st w=4^15 from here we can figure out cube root of w hence suff
D it is _________________