Question

the value of m, if (4/5)³ divided by (4-/5)³=(-1)³m (m is with 3 aka 3m)​

Answer 1

Answer:

$m = \frac{1}{ 3}$

Step-by-step explanation:

${ (\frac{4}{5} )}^{3} \div { (\frac{ - 4}{5} )}^{3} = ({ - 1})^{3m}$

$\frac{ {4}^{3} }{ {5}^{3} } \div \frac{ { - 4}^{3} }{ {5}^{3} } = { (- 1)}^{3m}$

$\frac{ {4}^{3} }{ {5}^{3} } \times \frac{ {5}^{3} }{ - 1 \times {4}^{3} }$

$( { - 1)}^{1} = {( - 1)}^{3m}$

when bases are same we can equate powers

$3m = 1$

$m = \frac{1}{3}$