Answer:
The solution is:
- [tex]\frac{0.5^{10}}{0.5^7}=0.125[/tex]
Step-by-step explanation:
Given the expression
[tex]0.5^{10}\div 0.5^7[/tex]
Solving
[tex]\frac{0.5^{10}}{0.5^7}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
so
[tex]\frac{0.5^{10}}{0.5^7}=0.5^{10-7}[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:10-7=3[/tex]
[tex]=0.5^3[/tex]
[tex]=0.125[/tex] ∵ [tex]0.5^3=0.125[/tex]
Therefore, the solution is:
[tex]\frac{0.5^{10}}{0.5^7}=0.125[/tex]
