Question

Plspls help help help​

Answer 1

Hope it helps you.......

Answer 2

Solve :

$\sf \bigg( \dfrac{4}{9}\bigg)^{ - 6} \times \bigg( \dfrac{2}{3} \bigg)^{2} \div { \bigg( \dfrac{3}{2} \bigg) }^{10}$

Identity used :

$\sf \bullet \: \: { \bigg( \dfrac{a}{b} \bigg) }^{m} \: = \: \dfrac{ {a}^{m} }{ {b}^{m} } \\ \\ \sf \bullet \: { \bigg( \dfrac{a}{b} \bigg) }^{ - m} = { \bigg( \dfrac{b}{a} \bigg) }^{m} \\ \\ \sf \bullet \: {( {a}^{m} )}^{n} \: = \: {a}^{(m \times n)} \\ \\ \sf \bullet \: \dfrac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{(m - n)} \\ \\ \sf \bullet \: {a}^{0} \: = \: 1$

Solution :

$\sf \implies \: \bigg( \dfrac{4}{9}\bigg)^{ - 6} \times \bigg( \dfrac{2}{3} \bigg)^{2} \div { \bigg( \dfrac{3}{2} \bigg) }^{10} \\ \\ \sf \implies \bigg( \dfrac{9}{4}\bigg)^{ 6} \times \bigg( \dfrac{2}{3} \bigg)^{2} \div { \bigg( \dfrac{3}{2} \bigg) }^{10} \\ \\ \sf \: \implies \: \bigg( \dfrac{ {3}^{2} }{ {2}^{2} }\bigg)^{ 6} \times \bigg( \dfrac{2}{3} \bigg)^{2} \div { \bigg( \dfrac{3}{2} \bigg) }^{10} \\ \\ \sf \: \implies \: \bigg( \dfrac{ {3}^{(2 \times 6)} }{ {2}^{(2 \times 6)} }\bigg) \times \bigg( \dfrac{2^{2} }{ {3}^{2} } \bigg) \div { \bigg( \dfrac{ {3}^{10} }{ {2}^{10} } \bigg) } \\ \\ \sf \implies \: \bigg( \dfrac{ {3}^{12} }{ {2}^{12} }\bigg) \times \bigg( \dfrac{2^{2} }{ {3}^{2} } \bigg) \times { \bigg( \dfrac{ {2}^{10} }{ {3}^{10} } \bigg) } \\ \\ \sf \implies \: \dfrac{ {3}^{12} \times {2}^{2} \times {2}^{10} }{ {2}^{12} \times {3}^{2} \times {3}^{10} } \\ \\ \sf \implies \: {3}^{(12 - 2 - 10)} \times {2}^{(2 + 10 - 12)} \\ \\ \sf \implies \: {3}^{0} \times {2}^{0} \\ \\ \sf \implies \: 1 \times 1 \\ \\ \sf \implies \: 1$

ANSWER : 1