Question

(5/3)^-3×(5/3)^10=(5/3)^2m+3 find the value of m

Answer 1

Answer: m= 2

Step-by-step explanation:

(5/3)^-3×(5/3)^10=(5/3)^2m+3

(5/3)^(-3+10)=(5/3)^2m+3

(5/3)^7 =(5/3)^2m+3

So, comparing exponents

7= 2m+3

2m+3= 7

2m= 7-3= 4

2m= 4

So, m= 2

Answer 2

Answer:

m=2

Step-by-step explanation:

(5/3)^-3×(5/3)^10=(5/3)^2m+3 [base are same]

-3+10=2m+5

7=2m+3

2m=7-3

2m=4

m=2