Question

The value of ${\left(\frac{5}{3}\right)}^{-8}÷{\left(\frac{5}{3}\right)}^{-8}$ is equal to

• A. $\frac{5}{3}$
• B. $\frac{3}{5}$
• C. $1$
• D. None of these

Answer 1

Answer: (C)

$1$

According to the properties of exponents,

$\frac{a^m}{a^n}=a^{m-n}$

According to the given condition,

${\left(\frac{5}{3}\right)}^{-8}÷{\left(\frac{5}{3}\right)}^{-8}={\left(\frac{5}{3}\right)}^{-8-(-8)}={\left(\frac{5}{3}\right)}^0=1$