Question

Which reason best explains why a4b2 is NOT equal to (ab)6?

A)There is no reason, because a4b2 is equal to (ab)6.
B)The bases are not the same, so this law of exponents does not apply.
C)4⋅2 is equal to 8, so the exponent should be 8.
D)4−2 is equal to 2, so the exponent should be 2.

Answer 1

B)The bases are not the same, so this law of exponents does not apply.

Explanation:

Given:

`a^4b^4\\eq (ab)^6`

Now according to law of of exponents which states that.

"When 2 numbers are multiplied which have same base the their exponents are added."

The above given expression is not equal as the base is not equal.

`a^4b^4\\eq (ab)^6`

Hence when the bases are not same, so the law of exponent does not apply.