Question

Perform the indicated computation. Write the answer in scientific notation. 12x10^4\3x10^−2

Answer 1

Let us consider the given expression:

$\frac{12 \times 10^{4}}{3 \times 10^{-2}}$ in the scientific notation.

= $\frac{12 \times 10^{4} \times 10^{2}}{3 }$

[Using the law of exponents, which states

$a^{m} \times a^{n} = a^{m+n}$ ]

= $\frac{12 \times 10^{6}}{3}$

On dividing, we get

= $4 \times 10^{6}$

Hence, it is the required scientific notation of the given expression.