Find the reciprocal of $( \frac{4}{5})^8$.
Given: $( \frac{4}{5})^8$.
To do: To find the reciprocal of $( \frac{4}{5})^8$.
Solution:
As known, reciprocal of $a$ is $\frac{1}{a}$
$\therefore$ Reciprocal of $( \frac{4}{5})^8$ is $\frac{1}{( \frac{4}{5})^8}$
$=( \frac{5}{4})^8$
Thus, the reciprocal $( \frac{4}{5})^8$ is $( \frac{5}{4})^8$.
Related Articles
- Find the reciprocal of :i) $\frac{2}{-5} \times \frac{3}{-7}$ii) $\frac{-4}{3} \times \frac{-5}{-8}$
- Find the reciprocal of each of the following fractions.(i) $\frac{5}{8}$(ii) $\frac{8}{7}$(iii) $\frac{13}{7}$(iv) $\frac{3}{4}$
- Draw number lines and locate the points on them:(a) \( \frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{4}{4} \)(b) \( \frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \frac{7}{8} \)(c) \( \frac{2}{5}, \frac{3}{5}, \frac{8}{5}, \frac{4}{5} \)
- Find the difference $\frac{5}{8} \ -\ \frac{1}{8} \ $
- Find the Reciprocal of$\frac{-7}{9}$
- Find the reciprocal of $\frac{13}{3}$.
- Find the value of $\frac{3}{5} \times\left(\frac{-5}{6}\right)-\frac{1}{8} \times \frac{4}{5}+\frac{1}{12} \times \frac{3}{5}$
- Find the value of:\( 2 \frac{4}{8}+2 \frac{6}{8} \)
- Simplify:\( \left(\frac{5}{8}\right)^{-7} \times\left(\frac{8}{5}\right)^{-4} \)
- Fill in the blanks:(i) \( -4 \times \frac{7}{9}=\frac{7}{9} \times -4 \)(ii) \( \frac{5}{11} \times \frac{-3}{8}=\frac{-3}{8} \times\frac{5}{11} \)(iii) \( \frac{1}{2} \times\left(\frac{3}{4}+\frac{-5}{12}\right)=\frac{1}{2} \times(\frac{3}{4})+\frac{1}{2} \times \frac{-5}{12}\)(iv) $\frac{-4}{5} \times(\frac{5}{7} \times \frac{-8}{9})=(\frac{-4}{5} \times$____ ) $\times\frac{-8}{9}$
- The reciprocal of $( \frac{5}{7})^{-1}$ is:-$( i).\ \frac{5}{7}$$( ii).\ \frac{-5}{7}$$( iii).\ \frac{7}{5}$$( iv).\ \frac{-7}{5}$
- Solve the following : $\frac{5}{8} + \frac{3}{4} - \frac{7}{2} $.
- The sum of a number and its reciprocal is $\frac{17}{4}$. Find the number.
- Find:9th term of the A.P. $\frac{3}{4}, \frac{5}{4}, \frac{7}{4}, \frac{9}{4}, ………$
- Solve the following pairs of equations:\( \frac{x}{3}+\frac{y}{4}=4 \)\( \frac{5 x}{6}-\frac{y}{8}=4 \)
Kickstart Your Career
Get certified by completing the course
Get Started