Answer:
32768
Step-by-step explanation:
SIMPLIFY
[tex]\frac{(2^{4} )^5}{2^{5} } \\[/tex]
now make use of the exponent rule :
[tex]\frac{x^a}{x^b} = x^{a-b}\\[/tex]
[tex](\frac{(2^4)^5}{2^5} = (\frac{2^4}{2} )^5\\[/tex]
[tex]\frac{2^4}{2} = 2^3[/tex]
=[tex](2^{3} )^5[/tex]
apply the exponent rule:
[tex](a^{b})^c = a^{bc}[/tex]
[tex]2^{3*5} \\2^{15}\\[/tex]
= 32768
