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Question
Simplify:
`(4^(3n) + 4^(2n) * 4^(n + 1))/((4 xx 4^n)^3 - 4 xx 4^(3n))`
Simplify
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Solution
`(4^(3n) + 4^(2n) * 4^(n + 1))/((4 xx 4^n)^3 - 4 xx 4^(3n))`
= `(4^(3n) + 4^(3n + 1))/(4^(3(n + 1)) - 4^(3n + 1))`
= `(4^(3n)(1 + 4))/(4^(3n + 1)(4^2 - 1))`
= `(5 * 4^(3n))/(4^(3n + 1) * 15)`
= `5/(15 * 4)`
= `1/12`
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Chapter 6: Indices - MISCELLANEOUS EXERCISE [Page 69]
