find n so that 2^11÷2^5=2^-3×2^2n-1
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Answer:
n = 5
Step-by-step explanation:
2^11 / 2^5 = 2^-3 x 2^(2n - 1)
=> 2^(11 - 5) = 2^(-3 + 2n - 1) -------> By identity a^m / a^n = a^(m - n) and
a^m x a^n = a^(m + n)
=> 2^6 = 2^(2n - 4)
Equating exponents,
=> 6 = 2n - 4
=> 10 = 2n
∴ n = 5
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