Question

evalute i)(3/6)⁶×(3/2)^-4,ii)(9/7)^-5​

Answer 1

$i-( \frac{3}{6} ) {}^{6} \times ( \frac{3}{2} ) {}^{ - 4}$

$( \frac{1}{2} ) {}^{6} \times ( \frac{3}{2} ) {}^{ - 4}$

$( \frac{1}{64} ) {}^{} \times ( \frac{3}{2} ) {}^{ - 4}$

$( \frac{1}{64} ) {}^{} \times ( \frac{16}{81} ) {}^{}$

$\frac{1}{324}$

$ii-{(\frac{9}{7})}^{-5}$

$\frac{1}{{(\frac{9}{7})}^{5}}$

$\frac{1}{\frac{{9}^{5}}{{7}^{5}}}$

$\frac{1}{\frac{59049}{{7}^{5}}}$

$\frac{1}{\frac{59049}{16807}}$

$\frac{16807}{59049}$