Question

Find (p/q)^-2, if (3/5)^-6 × (10/9)^-6 = (p/q)^-6

Answer 1

Answer:

9/4

Step-by-step explanation:

(3/5)^-6 × (10/9)^-6 = (p/q)^-6

(5/3)^6*(9/10)^6=(q/p)^6

(5/3)^6*(3²/2*5)^6=(q/p)^6

5^(6-6)*3^(-6+12)*2^-6=(q/p)^6

5^0*3^6*2^-6=(q/p)^6

(3/2)^6=(q/p)^6

q/p=3/2

(q/p)^2=9/4

or (p/q)^-2=9/4

Answer 2

Answer:

see attached pic hope it helps you

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