help with math

Xelement SG

given that 960 / 5m is a perfect cube, find the smallest value of m.

thanks

qdtimes2 SG

if im not wrong, m = 3

960 / 5m = 192 / m

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

= 4 x 4 x 4 x 3

a cube has equal sides throughout, or it's three factors must be equal. in order for 192 / m to be a cube, at least the factor 3 must be removed.

so m = 3

Xelement SG

if im not wrong, m = 3

960 / 5m = 192 / m

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

= 4 x 4 x 4 x 3

a cube has equal sides throughout, or it's three factors must be equal. in order for 192 / m to be a cube, at least the factor 3 must be removed.

so m = 3

thanks thanks