Dear student, We have,x2n+7 x23x+2x42n+3=x2n+7 x6n+4x8n+12 --[using amn=am×n]=x2n+7+6n+4x8n+12=x8n+11x8n+12=x8n+11-(8n+12) --[using aman=am-n]=x8n+11-8n-12=x-1=1x --[using a-m=1am] Regards

Please simplify this

Please simplify this (x2)30+2

Dear student,

W e h a v e, \frac{x^{2 n + 7} . {(x^{2})}^{3 x + 2}}{x^{4 (2 n + 3)}} = \frac{x^{2 n + 7} . x^{6 n + 4}}{x^{8 n + 12}} - - [u \sin g {(a^{m})}^{n} = a^{m \times n}] = \frac{x^{2 n + 7 + 6 n + 4}}{x^{8 n + 12}} = \frac{x^{8 n + 11}}{x^{8 n + 12}} = x^{8 n + 11 - (8 n + 12)} - - [u \sin g \frac{a^{m}}{a^{n}} = a^{m - n}] = x^{8 n + 11 - 8 n - 12} = x^{- 1} = \frac{1}{x} - - [u \sin g a^{- m} = \frac{1}{a^{m}}]

Regards

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Please simplify this Please simplify this (x2)30+2

Please simplify this

Please simplify this (x2)30+2