Question

HELP❕❗

Simplify:

a^2b^7c^2/a^2c^2

A. ab^7c

B. b^7

C. a^2c^2

D. b^6

Answer 1

Option B

`(a^2b^7c^2)/(a^2c^2) = b^7`

Solution:

Given that, we have to simplify the given expression

Given expression is:

`(a^2b^7c^2)/(a^2c^2)`

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

Take the common terms out in given expression

`(a^2b^7c^2)/(a^2c^2) = (a^2c^2(b^7))/(a^2c^2)`

Cancel the common terms in numerator and denominator

`(a^2b^7c^2)/(a^2c^2) = (a^2c^2(b^7))/(a^2c^2) = b^7`

Thus the simplified form of given expression:

`(a^2b^7c^2)/(a^2c^2)=b^7`

Thus option B is correct