Q. What is the value of A when we rewrite (65)x as A−8x ?Choose 1 answer:(A) A=(65)81(B) A=(65)−81(C) A=−8⋅65(D) A=81
Identify Base A: To rewrite (65)x as A−8x, we need to find a base A such that raising A to the power of −8x gives us the same expression as (65)x.
Equating Expressions: We can start by equating the two expressions: (65)x=A−8x
Find Value of A: To find A, we need to express (65)x in a form that makes the exponent −8x. We can do this by raising (65) to the power of 81 and then inverting the exponent to make it negative:A=(65)(81)
Rewrite Using A: Now, we can rewrite the original expression using the value of A we found: (65)x=((65)81)−8x
Correct Answer: This means that the correct answer is (A) A=(65)81, since this is the value of A that allows us to rewrite (65)x as A−8x.
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