Respuesta :

Answer:

value of a in terms of b and c is: [tex]\mathbf{a=bc}[/tex]

Option D is correct.

Step-by-step explanation:

We are given:

[tex]a=b^2c^2d \:and\: d=\frac{1}{a}[/tex]

We need to find a in terms of b and c

We have: [tex]a=b^2c^2d[/tex]

Put value of d [tex]d=\frac{1}{a}[/tex]

[tex]a=b^2c^2(\frac{1}{a})\\a^2=b^2c^2\\Taking \:squareroot\:on\:both\:sides\\\sqrt{a^2}=\sqrt{b^2c^2}\\a=bc[/tex]

So, value of a in terms of b and c is: [tex]\mathbf{a=bc}[/tex]

Option D is correct.