Question

Find the value of the expression 0.5^10/0.5^7

Answer 1

The solution is:

• 
  `(0.5^(10))/(0.5^7)=0.125`

Explanation:

Given the expression

`0.5^(10)/ 0.5^7`

Solving

`(0.5^(10))/(0.5^7)`

`\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)=x^(a-b)`

so

`(0.5^(10))/(0.5^7)=0.5^(10-7)`

`\mathrm{Subtract\:the\:numbers:}\:10-7=3`

`=0.5^3`

`=0.125` ∵
`0.5^3=0.125`

Therefore, the solution is:

`(0.5^(10))/(0.5^7)=0.125`