Question

please answer 19 th and 22nd question fast​

Answer 1

Step-by-step explanation:

$a)(( \frac{4}{5} ) {}^{3} \times ( \frac{4}{5} ) {}^{8} ) \div (( \frac{4}{5} ) {}^{2} \times ( \frac{4}{5} ) {}^{4} ) \\ \\ = (( \frac{4}{5} ) {}^{3 + 8} ) \div (( \frac{4}{5} ) {}^{2 + 4} ) \\ \\ = (\frac{4}{5} ) {}^{11} \div ( \frac{4}{5} ) {}^{6} \\ \\ = ( \frac{4}{5} ) {}^{11 - 6} \\ \\ = (\frac{4}{5 {}^{} } ) {}^{5} \\ \\ formula \: \: - x {}^{m} \times x {}^{n} = x {}^{m + n} \\ \\ \frac{x {}^{m} }{x {}^{n} } = x {}^{m - n} \\ \\ \\ b) ( \frac{2}{5} ) {}^{3} \times \frac{25}{8} \\ \\ = \frac{8}{125} \times \frac{25}{8} \\ \\ = \frac{1}{5} \\ \\ \\ \\ c)(( - \frac{1}{2} ) {}^{3} ) {}^{2} \\ \\ = ( - \frac{1}{2} ) {}^{6 } \\ \\ = \frac{1}{64} \\ \\ formula \: \: - ((x) {}^{m} ) {}^{n} = x {}^{mn}$