Question

Find n so that 2¹¹ ÷ 2⁵= 2^-3 x 2^2n-1​

Answer 1

Step-by-step explanation:

2^11÷2^5= 2^-3× 2^2n-1

law= a^m÷a^n= a^m-n

a^m×a^n= a^m+n

2^(11-5)= 2^(-3+2n-1)

2^6= 2^ -4+2n

base is same so power becomes same.

6= -4+2n

10=2n

n= 10/2

n= 5.

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