Answer: The black hole is [tex]3.302\times10^{6}[/tex] times more masive than the sun.
Step-by-step explanation:
Given : The mass of black hole = [tex]6.57\times10^{36}\ kg[/tex]
The mass of Sum is approximately [tex]1.99\times10^{30}\ kg[/tex]
Now, the number of times the mass of black hole more massive than the mass of sun is given by :-
[tex]n=\dfrac{6.57\times10^{36}}{1.9\times10^{30}}[/tex]
i.e.[tex]n=\dfrac{6.57}{1.9}\times\dfrac{10^{36}}{10^{30}}[/tex]
Using the division law of exponent :-
[tex]\dfrac{a^m}{a^n}=a^{m-n}[/tex]
[tex]=\approx3.302\times10^{36-30}}\\\\=3.302\times10^{6}[/tex]
Hence, the black hole is [tex]3.302\times10^{6}[/tex] times more masive than the sun.
