Answer:
[tex]1.25[/tex]
Step-by-step explanation:
[tex]5\left(4^4\right)\cdot 8^4\cdot 16^{-6}[/tex]
apply exponent rule: [tex]a^{-b}=\frac{1}{a^b}[/tex]
[tex]4^4\cdot \:8^4\cdot \:5\cdot \frac{1}{16^6}[/tex]
[ breakdown ]
[tex]5*4 * 4 * 4 * 4 *4 * 8 * 8* 8*8*\frac{1}{16^6}[/tex]
[ simply multiply ]
[tex]5242880 * \frac{1}{16^6}[/tex]
[ [tex]16^6 = 16777216[/tex] ]
[tex]20971520* \frac{1}{16777216}[/tex]
[ cancel and simplify ]
[tex]\frac{5}{4}[/tex]
[ in decimals ]
[tex]1.25[/tex]
