Question

find the value of n in each of the following first one 2 by 3 whole power 3 into 2 by 3 whole power 5 is equal to 2 by 3 whole power n minus 2​

Answer 1

Step-by-step explanation:

$( \frac{2}{3})^{3} \times (\frac{2}{3}) ^{5} = ( \frac{2}{3} )^{n - 2}$

$( \frac{2}{3} )^{3 + 5} = \frac{2}{3} ^{n - 2}$

$( \frac{2}{3} )^{8} = (\frac{2}{3})^{n - 2}$

Equating powers

$8 = n - 2 \\ transposing \: 2 \\ 8 + 2 = n \\ n = 10$