Question

(6,3*10^-2)÷(2,1*10^4​

Answer 1

Answer:

• $3*10^{-6}$ 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:

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

$a^b:a^c=a^{b-c}$

$a^{-b}=1/a^b$

Answer 2

Answer:

$3\times {10^{-6}}$

Step-by-step explanation:

   $\dfrac{6.3 \times 10^{-2}}{2.1 \times 10^4}$

$=\dfrac{6.3 }{2.1}\times \dfrac{10^{-2}}{10^4}$

$=3\times \dfrac{10^{-2}}{10^4}$

$\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$=3\times {10^{(-2-4)}}$

$=3\times {10^{-6}}$