d) Find the value of k if
(125/27)*( 125/27) power k =(5/3) power 18
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Step-by-step explanation:
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Answer:
The value of k is 3.
Step-by-step explanation:
125 = 5³
27 = 3³
So, [(5³/3³)*(5³/3³)]^k = (5/3)^18
[(5/3)^6]^k = (5/3)^18
(5/3)^6k = (5/3)^18
We know, when bases are same, powers are equal:
6k = 18
Thus, k = 3
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