Question

How does 5 x(2)^n-1 simplify to 5/2 x (2)^n ?
Please help me

Answer 1

9514 1404 393

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

1/a^b = a^-b

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`5*2^(n-1)=5*(2^n)(2^(-1))=5*2^n*(1)/(2)=\boxed{(5)/(2)*2^n}`