Question

Please help me simplify.

Answer 1

Answer:

32768

Step-by-step explanation:

SIMPLIFY

$\frac{(2^{4} )^5}{2^{5} }$

now make use of the exponent rule :

$\frac{x^a}{x^b} = x^{a-b}$

$(\frac{(2^4)^5}{2^5} = (\frac{2^4}{2} )^5$

$\frac{2^4}{2} = 2^3$

=$(2^{3} )^5$

apply the exponent rule:

 $(a^{b})^c = a^{bc}$

$2^{3*5} \\2^{15}$

= 32768

Answer 2

Answer:

Step-by-step explanation:

$\frac{(2^{4})^{5}}{2^{5}}=\frac{2^{4*5}}{2^{5}}\\\\=\frac{2^{20}}{2^{5}}\\\\=2^{20-5}=2^{15}$