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Given that a56×a1n=1, ...

Given that a56×a1n=1, solve for n

A.

-6.00

B.

-1.20

C.

0.83

D.

1.20

Correct answer is D

a56×a1n=1

a56+1n=a0

Equating bases, we have

561n=0

5n66n=0

5n6=05n=6

n=65=1.20