Question

prove (2/3)⁶=64/729​

Answer 1

ANSWER

To prove :-

${ (\frac{2}{3} )}^{6} = \frac{64}{729}$

L.H.S =

${ (\frac{2}{3} )}^{6} = \frac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3 \times 3}$

${ (\frac{2}{3} )}^{6} = \frac{64}{729}$

Therefore , it is proved that L.H.S = R.H.S