Question

Which of the following is the multiplicative inverse of ${(-\frac{5}{2})}^{-3}$?

• A. ${\left(\frac{2}{5}\right)}^3$
• B. $-{\left(\frac{5}{2}\right)}^{-3}$
• C. ${\left(\frac{5}{2}\right)}^3$
• D. ${(-\frac{2}{5})}^3$

Answer 1

The correct option is D ${(-\frac{2}{5})}^3$

${(-\frac{2}{5})}^3$ is the multiplicative inverse of ${(-\frac{5}{2})}^{-3}$
Multiplicative inverse of a number x is denoted by $\frac{1}{x}$ is a number which when multiplied by x yields the multiplicative identity 1.