Question

Use exponent properties to simplify the following expression with a positive exponent.

Answer 1

$a^{-n}=\dfrac{1}{a^n}\\\\2^{-8}=\dfrac{1}{2^8}\\\\a^n\cdot a^m=a^{n+m}\\\\2^5\times2^1=2^{5+1}=2^6\\\\2^5\times2^{-8}\times2^1=\boxed{\dfrac{2^6}{2^8}}$