Question

simplify (2^2•5)^3/2^5•5^8

Answer 1

Answer:

$2^{17}$

Step-by-step explanation:

$(2^{2 \times 5})^3/(2^5 \times 5^8)$

$(2^{10})^3/(2^{5+8})$

$2^{10 \times 3}/(2^{5+8})$

$2^{30}/(2^{13})$

$2^{30-13}$

$=2^{17}$

Answer 2

Answer:

Step-by-step explanation:

$\frac{(2^{2}*5)^{3}}{2^{5}*5^{8}}=\frac{(2^{2})^{3}*5^{3}}{2^{5}*5^{8}}\\\\=\frac{2^{6}*5^{3}}{2^{5}*5^{8}}\\\\=\frac{2^{6-5}}{5^{8-3}}\\\\=\frac{2^{1}}{5^{5}}\\\\=\frac{2}{5^{5}}$