Question

(6,3*10^-2)÷(2,1*10^4​

Answer 1

`3* {10^(-6)}`

Explanation:

`(6.3 * 10^(-2))/(2.1 * 10^4)`

`=(6.3 )/(2.1)* (10^(-2))/(10^4)`

`=3* (10^(-2))/(10^4)`

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

`=3* {10^((-2-4))}`

`=3* {10^(-6)}`

Answer 2

• 
  `3*10^(-6)` or
  `0.000003`

Given expression:

• 
  `(6.3*10^(-2)) : (2.1*10^4)`

Simplify it in steps below:

• 
  `(6.3*10^(-2)) : (2.1*10^4) =`
• 
  `(6.3 :2.1)*(10^(-2):10^4)=`
• 
  `3*(10^(-2-4))=`
• 
  `3*10^(-6)` or
  `0.000003`

Used properties:

`\cfrac{ab}{cd}=\cfrac{a}{c}*\cfrac{b}{d}`

`a^b:a^c=a^(b-c)`

`a^(-b)=1/a^b`