Question

Find the value of p so that ( 4/ 15 ) ^3 ÷ ( 4 /15 ) ^-6 = ( 4/ 15 )^ 2x+1

Answer 1

Answer:

p= -2

Step-by-step explanation:

(4/15)^3 / (4/15)^-6 =(4/15)^2p+1

(4/15)^3 * (4/15)^-6 = (4/15)^ 2p+1

(4/15) ^-3 = (4/15)^2p+1   (since a^m *a^n = a^m+n)

-3 = 2p+1  (since a^m = a^n then, m=n)

-3-1 = 2p

-4 = 2p

p = -4/2

p = -2

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