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dem82 [27]
2 years ago
8

2ⁿ+2ⁿ+2ⁿ+2ⁿ=2¹⁶value of n?​

Mathematics
1 answer:
STatiana [176]2 years ago
6 0

Answer:

n = 14

Step-by-step explanation:

~~~~~~~2^n+2^n+2^n+2^n = 2^{16}\\\\\implies 4 \cdot 2^n = 2^{16}\\\\\implies 2^2 \cdot 2^n = 2^{16}\\\\\implies 2^{n+2} = 2^{16}~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\\implies n+ 2 = 16\\\\\implies n = 16-2 \\\\\implies n = 14

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