Question

plz an fast
find the value of m if 3/7 rase to power 4 × 7 / 3 rase to Power -5 = 3/ 7 rase to power 2m+1​

Answer 1

Answer:

4

Step-by-step explanation:

(3/7)⁴×(7/3)^-5= (3/7)^2m+1

(3/7)⁴×(3/7)⁵ = (3/7)^2m+1 {a^-m= 1/a^m}

(3/7)^4+5 = (3/7)^2m+1 {a^m×a^n=a^m+n}

(3/7)⁹= (3/7)^2m+1

[Both the bases and exponents are equal, so the powers will be equal as well]

9=2m+1

2m = 9-1

2m = 8

m = 8/2

m = 4

Therefore the value of m is 4