Question

Simplify (2^5 / 2^8)^5 multiply 2^-5

Answer 1

Answer:

$2^{-30}$

Step-by-step explanation:

$\frac{2^{5} }{2^{8} }$=$\frac{1}{2^{3} }$

$\\ (\frac{1}{2^{3} }) ^{5} =\frac{1}{2^{15} }$

$\\ (\frac{1}{2^{3} }) ^{5} =\frac{1}{2^{15} }$$\\ \frac{1}{2^{15} } * 2^{-5} =\frac{1}{2^{15} } * \frac{1}{2^{5} } \\ =\frac{1}{2^{15+5} } \\ =\frac{1}{2^{30} } \\ =2^{-30}$