Let us consider the given expression:
[tex] \frac{12 \times 10^{4}}{3 \times 10^{-2}} [/tex] in the scientific notation.
= [tex] \frac{12 \times 10^{4} \times 10^{2}}{3 } [/tex]
[Using the law of exponents, which states
[tex] a^{m} \times a^{n} = a^{m+n} [/tex] ]
= [tex] \frac{12 \times 10^{6}}{3} [/tex]
On dividing, we get
= [tex] 4 \times 10^{6} [/tex]
Hence, it is the required scientific notation of the given expression.
