Which expression is equivalent to the given expression?

A. 6a/b^7

Step-by-step explanation:

you have to factorize it

simplify the denominator

you know that a^0 = 1  

so it becomes: (b^2)^4  ( 1b is the same as b )

using laws of exponents: (a^n)^m = a^m x n

so here: b^2 x 4

which is b^8

now put that in the original question as denominator

6ab/b^8

you can cancel b and b^8

which gives you 6a/b^7

so the answer is A. 6a/b^7

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