Answer:
[tex]2.7 * 10^{4}[/tex]
Step-by-step explanation:
Given the expression [tex]\frac{8.9*10^{8} }{3.3*10^{4} }[/tex], to express the the fraction in scientific notation, we will apply the law of indices below;
According to one of the laws of indices, [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]
Applying this to the fraction;
[tex]= \frac{8.9*10^{8} }{3.3*10^{4} }\\\\= \frac{8.9}{3.3} * \frac{10^{8} }{10^{4} }\\\\ = \frac{8.9}{3.3} * 10^{8-4}\\\\ = \frac{8.9}{3.3} *10^{4}\\\\ = 2.697 * 10^{4}[/tex]
The best estimate for the fraction in scientific notation will be [tex]2.7 * 10^{4}[/tex]
