Question

If x/y = (3/2) divided by (5/7)0, find the value of (y/x)3

Answer 1

Answer is 0............Because one number is multiplied by 0

Answer 2

Answer:

Here we should find the value of $(\frac{y}{x} )^3$ using the $\frac{x}{y}$ in the given question.

Final Answer:  $(\frac{y}{x} )^3=\frac{64}{729}$

Step-by-step explanation:

Correct question: If x/y= (3/2)²÷(5/7)⁰ find the value of ( y/ x )³​

From the given question,

• We have a  $\frac{x}{y}$ value. That is, $\frac{x}{y}=(\frac{3}{2})^2$ divided by $(\frac{5}{7} )^0$

             ⇒    $\frac{x}{y}=(\frac{3}{2})^2\div (\frac{5}{7})^0$   --------------(1)

Step 1:

• To simplify the above equation, first we should apply the following identity.
• That is the value of anything power 0 is 1.

                           $x^0=1$

• Here $x$ is a number.It's power is 0.So the value of $x^0$ is 1.
• Now apply this identity in equation(1).

                            $\frac{x}{y}=(\frac{3}{2})^2\div 1$

                            $\frac{x}{y}=(\frac{3}{2})^2$

• Square the numerator and denominator value.That is,

                      $3\times3=9$

                      $2\times2=4$

• Apply this value in the above equation.

                            $\frac{x}{y}=\frac{9}{4}$

Step 2:

• Now we have a value of $\frac{x}{y} =\frac{9}{4}$.
• Next find the value of $(\frac{y}{x})^3$ using $\frac{x}{y}$.
• $\frac{y}{x}$ is the reciprocal of $\frac{x}{y}$.So that,

                        $(\frac{y}{x} )^3=(\frac{4}{9} )^3$

                                $=(\frac{4\times4\times4}{9\times9\times9} )^3$

                        $(\frac{y}{x} )^3=\frac{64}{729}$

Final Answer: $(\frac{y}{x} )^3=\frac{64}{729}$