Answer:
[tex]m=4[/tex]
Step-by-step explanation:
We have been given an equation. We are asked to find the value of m for our given equation.
[tex]\frac{6.22\times 10^9}{1.79\times 10^5}=3\times 10^m[/tex]
Let us solve left side of our given equation using exponent property for quotient [tex]\frac{a^b}{a^c}=a^{b-c}[/tex].
[tex]\frac{6.22\times 10^9}{1.79\times 10^5}=\frac{6.22}{1.79}\times 10^{9-5}[/tex]
[tex]\frac{6.22\times 10^9}{1.79\times 10^5}=3.18\times 10^{4}[/tex]
Therefore, the value of m would be 4 for our given equation.
