Question

Se 2^n=7 e 2^p=2, o valor de 2^n−p+4 é:

Answer 1

$2^{n-p+4}=2^{n}\cot2^{-p}\cdot2^{4}\\\\\\2^{n-p+4}=2^{n}\cdot\dfrac{1}{2^{p}}\cdot16\\\\\\2^{n-p+4}=7\cdot\dfrac{1}{2}\cdot16\\\\\\2^{n-p+4}=7\cdot8\\\\\\\boxed{\boxed{2^{n-p+4}=56}}$