Question

Question 18
If a *b=
$\frac{a}{b}$
then right inverse element of a is ?
​

Answer 1

Answer:

Step-by-step explanation:

$a*b=\frac{a}{b}$

$a= \frac{a}{b^{2} }$

So we need to find the inverse of a that is 1/a.

Taking Reciprocal, we get

$\frac{1}{a} = \frac{b^{2} }{a}$

So , b^2/a is the inverse element of a.

Tips to solve this equation:

• Always while solving inverse take reciprocal of the resultant
• Whenever the number goes to either side of equation, the sign changes
• For example b that was in multiplication with a divided and became b^2 of the either side of denominator.
• Similarly positive sign changes to negative when it goes to either side of equation.
• If it told to find a, no need of reciprocal
• Reciprocal is the inverse of the fraction.
• The number with no denominator has denominator 1 just as a.