Question

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

Answer 1

Let us consider the given expression:

`(12 * 10^(4))/(3 * 10^(-2))` in the scientific notation.

=
`(12 * 10^(4) * 10^(2))/(3 )`

[Using the law of exponents, which states

`a^(m) * a^(n) = a^(m+n)` ]

=
`(12 * 10^(6))/(3)`

On dividing, we get

=
`4 * 10^(6)`

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