Respuesta :

Option B

[tex]\frac{a^2b^7c^2}{a^2c^2} = b^7[/tex]

Solution:

Given that, we have to simplify the given expression

Given expression is:

[tex]\frac{a^2b^7c^2}{a^2c^2}[/tex]

We can simplify the expression by cancelling the common terms in numerator and denominator

Take the common terms out in given expression

[tex]\frac{a^2b^7c^2}{a^2c^2} = \frac{a^2c^2(b^7)}{a^2c^2}[/tex]

Cancel the common terms in numerator and denominator

[tex]\frac{a^2b^7c^2}{a^2c^2} = \frac{a^2c^2(b^7)}{a^2c^2} = b^7[/tex]

Thus the simplified form of given expression:

[tex]\frac{a^2b^7c^2}{a^2c^2}=b^7[/tex]

Thus option B is correct