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Question
Find the value of (8p)p if 9p + 2 - 9p = 240.
Solution
9p+2 - 9p = 240
⇒ 9p (92 - 1) = 240
⇒ 9p (80) = 240
⇒ 9p = 3
⇒ 32p = 3
⇒ 2p = 1
⇒ p = `(1)/(2)`
(8p)p = (23p)p
= `(2^3 . 1/2)^(1/2)`
= `(2^(3-1 .))^(1/2)`
= `(2^2)^(1/2)`
= 2.
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