Answer:
[tex]1.738\cdot 10^{10}[/tex]
Step-by-step explanation:
We are asked to find the the quotient of the division problem, where [tex]2.26\cdot 10^8[/tex] is dividend and 0.013 is divisor.
Represent dividend and divisor as fraction:
[tex]\frac{2.26\cdot 10^8}{0.013}[/tex]
Convert 0.013 into scientific notation:
[tex]0.013=1.3\cdot 10^{-2}[/tex]
[tex]\frac{2.26\cdot 10^8}{1.3\cdot 10^{-2}}[/tex]
Using exponent property [tex]\frac{a^m}{a^n}=a^{m-n}[/tex], we will get:
[tex]\frac{2.26}{1.3}\cdot 10^{8-(-2)[/tex]
[tex]\frac{2.26}{1.3}\cdot 10^{8+2}[/tex]
[tex]1.738\cdot 10^{10}[/tex]
Therefore, our required quotient would be [tex]1.738\cdot 10^{10}[/tex].
