1.

2/7^-3×2/7^-5=2/7^-3m+1​

Answer»

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.



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