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Step-by-step explanation:
a/q
2^(n-5) × 6^(2n-4)= 12^(-4) × 2^(-1) ( a^-1=1/a)
2^(n-5) ×(3×2)^2n-4= {(2^2)×3}^(-4)×2^(-1)
(using laws of exponents)
=> 2^(n-5) × 3^(2n-4) × 2^(2n-4)= 2^(-8-1) × 3^(-4)
=>2^(n-5+2n-4) ×3^(2n-4)=2^(-9) ×3^(-4)
equating the powers of 2
3n-9=-9
=>n=0
checking answer by equating powers of 3
2n-4=-4
n=0
hence it's correct
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Answer:
n = 0
Step-by-step explanation:
kindly check the attachment for the stepwise solution and answer.
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