Question

simplify this equation​

Answer 1

Answer:

$[(\frac{-8}{13})^{-1} + (\frac{16}{5})^{-1} + (\frac{4}{5})^{-1}] =\frac{-1}{16}$

Step-by-step explanation:

Identity $a^{(-m)} = \frac{1}{a^m}$

$[(\frac{-8}{13})^{-1} + (\frac{16}{5})^{-1} + (\frac{4}{5})^{-1}]\\=(\frac{-13}{8}) + (\frac{5}{16}) + (\frac{5}{4}) \\= \frac{-13(2) + 5(1) +5 (4)}{16} \\= \frac{-26 + 5 +20}{16}\\=\frac{-1}{16}$