Question

Find the value of 'p' if [2/5] to the power 3x [ 2/5] raise to -6= [2/5] raised to 2p-1
Find the value of 'm' if [ 125/27 ] x [ 125/27] raise to m = [5/3]raise to 18​

Answer 1

Answer:

Step-by-step explanation:

[2/5]^3-6 = [2/5]^2p-1

-3 = 2p-1

p=-1

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[125/27]  x  [125/27] ^m =[5/3] ^18

= [ (5/3)^3] x [5/3]^3m = [5/3]^18

thus 3m+3 = 18

3m = 15

m= 5