Question

Find the value of the following
​

Answer 1

a.

$\bf \: \frac{81 \times {7}^{3} \times 100}{10 {}^{2} \times {3}^{4} \times 7 }$

$\red{\implies} \bf \frac{9×9×7×7×7×10×10}{10×10×9×9×7}$

$\red{\implies}\bf \: 7 ×7$

$\red{\implies} \bf 49$

b.

$\bf \: \frac{27 {}^{2} \times ( - m) {}^{5} \times {n}^{2} }{18 {}^{3} \times n \times {m}^{3} }$

$\red{\implies} \bf \frac{9×9×9×(-m⁵)×n²}{18×18×18×n×m³}$

$\bf \red{\implies} = \frac{ - m {}^{2} n}{8}$