Question

7. Simplify: [2/11]⁸ ÷ [2/11]⁵​

Answer 1

$= > { \dfrac{2}{11} }^{8} \div { \dfrac{2}{11} }^{5}$

→ Now changing divide into multiple by reciprocal .

$= > \dfrac{ {2}^{8} }{ {11}^{8} } \times \dfrac{ {11}^{5} }{ {2}^{5} }$

$= > \dfrac{ {2}^{8} }{ {2}^{5} } \times \dfrac{ {11}^{5} }{ {11}^{8} }$

$= > \dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 11 \times 11 \times 11 \times 11 \times 11}{2 \times 2 \times 2 \times 2 \times 2 \times 11 \times 11 \times 11 \times 11 \times 11 \times 11 \times 11 \times 11}$

Now cancel same denominator and numerator .

$= > \red { \dfrac{ {2}^{3} }{ {11}^{3} } }$