Question

Doprowadź do najprostszej postaci:

[tex]1. \frac{ 64^2 * 36^4}{6^3 * 2^6} \\ 2. \frac{(8^3)^5 * 4^6}{128^2}[/tex]

Answer 1

1[tex]\frac{(2^{6})^{2}*(6^{2})^{4}}{6^{3}*2^{6} }=\frac{2^{12}*6^{8}}{6^{3}*2^{6}}=6^{5}*2^{6}=6^{5}*2^{5}*2=12^{5}*2[/tex]

2[tex]\frac{((2^{3})^{3})^{5}*(2^{2})^{6} }{(2^{7})^{2} } =\frac{2^{45} *2^{12} }{2^{14} }=2^{43}[/tex]