Question

2/7^-3×2/7^-5=2/7^-3m+1​

Answer 1

Answer:

m = 3

Step-by-step explanation:

${ \frac{2}{7} }^{ - 3} \times { \frac{2}{7} }^{ - 5} = { \frac{2}{7} }^{ - 3m + 1} \\ using \: identity \: {a}^{m} \times {a}^{n} = {a}^{m + n} \\ { \frac{2}{7} }^{ - 3 + ( -5)} = { \frac{2}{7} }^{ - 3m + 1} \\ - 3 - 5 = - 3m + 1 \\ - 8 = - 3m + 1 \\ 3m = 8 + 1 \\ m = \frac{9}{3} \\ m = 3$

Thus, m is 3.