Step-by-step explanation:
Let's start by simplifying our light terms.
[tex]q = \frac{33 \times 10 {}^{9} }{11 \times 10 {}^{7} } [/tex]
33 is divisible by 11 so i can simplify up and down by 11.
[tex]q = \frac{3 \times 10 {}^{9} }{1 \times 10 {}^{7} } [/tex]
Now i have 10^9 in the numerator and 10^7 in the denominator. I can remove 10^7 from up and down to get;
[tex]q = \frac{3 \times 10 {}^{9 - 7} }{1 \times 10 {}^{7 - 7} } = \frac{3 \times 10 {}^{2} }{1 \times 10 {}^{0} } = \frac{3 \times 10 {}^{2} }{1 \times 1} [/tex]
[tex]q = 3 \times 10 {}^{2} [/tex]
And that is your scientific notation.
