Answer:
Fraction Form: [tex]\frac{2187}{4000000}[/tex]
Decimal Form: [tex]0.000547[/tex]
Step-by-step explanation:
[tex]=\frac{5}{256} * \frac{3}{5}^1^2 / \frac{3}{5}^5[/tex]
[tex]\frac{3}{5}^1^2/\frac{3}{5}^5=\frac{2187}{78125}[/tex]
[tex]=\frac{5}{256}*\frac{2187}{78125}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]\frac{5*2187}{256*78125}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:78125=5\cdot \:15625[/tex]
[tex]=\frac{5*2187}{256*5*15625}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]
[tex]=\frac{2187}{256*15625}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:256\cdot \:15625=4000000[/tex]
[tex]\frac{2187}{4000000}[/tex]
[RevyBreeze]
