Question

Find the value of $\frac{5^0+5^{-1}}{5^0-5^{-1}}-{\left(\frac{8}{27}\right)}^{\frac{1}{3}}-{\left(\frac{36}{25}\right)}^{-\frac{1}{3}}$

• A. 0
• B. $\frac{-5}{6}$
• C. 1
• D. 2

Answer 1

The correct option is A 0

$\frac{1+\frac{1}{5}}{1-\frac{1}{5}}-{\left[{\left(\frac{2}{3}\right)}^3\right]}^{\frac{1}{3}}-{\left[{\left(\frac{6}{5}\right)}^2\right]}^{-\frac{1}{2}}=\frac{\frac{6}{5}}{\frac{4}{5}}-{\left(\frac{2}{3}\right)}^1-{\left(\frac{6}{5}\right)}^{-1}=\frac{6}{4}-\frac{2}{3}-\frac{5}{6}=\frac{18-8-10}{12}=0$