Make and test a conjecture about the quotient of a number and its reciprocal The quotient of a number and its reciprocal is the square of that number 2/3÷3/2=

Answer 1

Let x/y be the number

y/x will be the reciprocal

quotient of that number and its reciprocal will be:

x/y

-----

y/x

which will be equal to the product:

x/y * x/y

which will simplify to:

x^2

----

y^2

and is equal to based on the property of exponents

(x/y)2

which is the square of the original number x/y.