Respuesta :

Answer:

m = 6

Step-by-step explanation:

Here, we want to find the value of m

To do this, we use the indices addition property for multiplication

On the left hand side;

5^(2 + m + 7) = 5^15

5^(m + 9) = 5^15

since the bases are equal, we equate the powers

m + 9 = 15

m = 15-9

m = 6