Question

Simplify using laws of exponent

(-2/3)^4 × (7/9)^-4 × (2/3)​

Answer 1

$question = ( \frac{ - 2}{3} ) {}^{4} \times ( \frac{7}{9}) {}^{ -4} \times( \frac{2}{3}) \\ solution . \\ = ( \frac{ - 2 \times - 2 \times - 2 \times - 2}{3 \times 3 \times 3 \times 3 } ) \times ( \frac{9}{7})^{4} \times ( \frac{2}{3} ) \\ = ( \frac{16}{81} ) \times ( \frac{9 \times 9 \times 9 \times 9}{7 \times 7 \times 7 \times 7} ) \times ( \frac{2}{3}) \\ = \frac{16}{81} \times \frac{6561}{2401} \times \frac{2}{3} \\ = \frac{16}{1} \times \frac{81}{2401} \times \frac{2}{3} \\ = 16 \times \frac{27}{2401} \times \frac{2}{1} \\ = \frac{864}{2401} answer....$