Question

(3/7) Power 4×(3/7)power5=(3/7) power 2m+1 find the value of m

Answer 1

Answer:

Step-by-step explanation:

As per question

(3/7) power 4 × (3/7) power 5 = (3/7) power 2m+1

As per law if exponent

a power m × a power n = a power m+ n

Hence in the above questionwe can write LHS as (3/7) power 4+5

= 3/7 power 9

=>3/7 power 9 = 3/7 power 2m+1

=>Since base on both sides is same, we can equate the powers

=> 2m+1=9

=> 2m = 9-1

=> 2m = 8

m =8/2

m =4

Hope it is clear