Question

pls answer quickly asap​

Answer 1

Answer:

x^2

Step-by-step explanation:

by using exponential rules we can easily solve this question ans given in picture

Answer 2

Answer:

x²

EXPLANATION :

First step: simplify numerator

${x}^{2n + 3} . \: \: {x}^{(2n + 1)(n + 2)} \\ {x}^{2n + 3} . \: \: {x}^{2n(n + 2) + 1(n + 2)} \\ {x}^{2n + 3} . \: \: {x}^{2 {n}^{2} + 4n + n + 2 } \\ since \: {a}^{m} \times {a}^{n} = {a}^{m + n} \: \: \ \: we \: have \\ {x}^{2n + 3 + 2 {n}^{2} + 4n + n + 2 } \\ {x}^{2 {n}^{2} + 7n + 5 }$

Second step: simplify denominator

${x}^{3(2n + 1)} . \: \: {x}^{n(2n + 1)} \\ {x}^{6n + 3} . \: \: {x}^{2 {n}^{2} + n } \\ since \: {a}^{m} \times {a}^{n} = {a}^{m + n} \\ {x}^{6n + 3 + 2 {n}^{2} + n} \\ {x}^{7n + 2 {n}^{2} + 3}$

Third step: Further simplifying as a fraction

$\frac{ {x}^{2 {n}^{2} + 7n + 5} }{ {x}^{7n + 2 {n}^{2} + 3} } \\ since \: \frac{ {a}^{m} }{{a}^{n} } = {a}^{m - n} \: \: we \: have \\ {x}^{2 {n}^{2} + 7n + 5 \: \: - (2 {n}^{2} + 7n + 3)} \\ {x}^{2 {n}^{2} + 7n + 5 - 2 {n}^{2} - 7n - 3 } \\ {x}^{5 - 3} \\ {x}^{2}$

PLEASE MARK BRAINLIEST