Find the reciprocal of the expression 3 13 ÷ −4 65 . - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

We are given an expression as follows,

313 ÷ − 4 65

Therefore we have,

313 ÷ − 4 65 = 313 × (− 65) 4

313 × (− 65) 4 = 3 × (− 65) 13 × 4 = 3 × (− 5) 4 = − 15 4

So, the product is

− 15 4

.
Now, in order to do the reciprocal, we will interchange the numerator with the denominator leaving the negative sign as it is, as follows,

− 4 15

This is the required reciprocal of the given expression is

\frac{- 4}{15}

.
Hence, the correct option is (4).

Find the reciprocal of the expression $313 ÷ − 4 65$ .