Question

please give answer fast​

Answer 1

Question :-

$\rm = \dfrac{3 \times {7}^{2} \times {11}^{8} }{21 \times {11}^{3}}$

Answer :-

$\rm = \dfrac{3 \times {7}^{2} \times {11}^{8} }{21 \times {11}^{3}}$

ㅤ

$\rm = \dfrac{3 \times 7 \times 7 \times {11}^{8} }{21 \times{11}^{3}}$

ㅤ

$\rm = \dfrac{\cancel{21}\times 7 \times {11}^{8} }{\cancel{21} \times 11 {}^{3} }$

ㅤ

$\rm = 7 \times \dfrac{11^8}{11^3}$

ㅤ

$\rm = 7 \times {11}^{(8 - 3)}$

ㅤ

➩ $\boxed{\rm 7 \times {11}^{5}}$

Answer 2

$= 7 \times {11}^{5}$

Solution :

$= \frac{3 \times {7}^{2} \times {11}^{8} }{21 \times {11}^{3} }$

$= \frac{3 \times 7 \times 7 \times 11 \times 11 \times 11 \times 11 \times 11 \times 11 \times 11 \times 11}{3 \times 7 \times 11 \times 11 \times 11 \times 11 \times 11}$

Cancel the common terms,

$= \frac{7 \times 11 \times 11 \times 11 \times 11 \times 11}{1}$

$= 7 \times {11}^{5}$