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