Question

a^7+2n .(a^2)^3n+2/(a^4)^2n+3​

Answer 1

Step-by-step explanation:

${a}^{7 + 2n} \times {( {a}^{2} )}^{3n + 2} \div {( {a}^{4} )}^{2n + 3}$

$= {a}^{7 + 2n} \times {a }^{6n + 4} \div { a }^{8n + 12}$

$= {a}^{7 + 2n + 6n + 4} \div { a }^{8n + 12} \\ = {a}^{11 + 8n } \div { a }^{8n + 12} \\ = {a}^{11 + 8n - 8n - 12} \\ = {a}^{ - 1}$

$= { \frac{1}{a} }^{1}$

$= \frac{1}{a}$

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