Question

Find the value of x for which (3/2)^2x×(9/25)^2=729/15625


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Answer 1

Answer:

(3/2)square x into (9/25)square = 729/15625

= 9/4 x into 81/625 = 729/15625

= 729/2500 x = 729/15625

= x = 729/15625 into 2500/729

= x = 4/25

Step-by-step explanation:

Answer 2

Answer:

(3/5)^2x ×(9/25)^2=(27/125)^2

(3/5)^2x×(3/5)^4=(3/5)^6

As base is same

2x +4=6

2x=6-4

2x=2

x=2/2

x=1