Question

What is the product of 5.5×10^3 and 6.3×10^4 expressed in scientific notation

Answer 1

The given product is:

`(5.5*10^3)*(6.3*10^4)`

First, multiply the numbers that are not powers of 10, then multiply the powers of 10:

`(5.5*6.3)*(10^3*10^4)^{}`

Multiply the numbers:

`34.65*(10^3*10^4)`

Multiply the powers of 10 by adding their exponents:

`\begin{gathered} 34.65*10^(3+4) \\ =34.65*10^7 \end{gathered}`

Rewrite the result in scientific notation by moving the decimal point once to the left and adding 1 to the exponent:

`3.465*10^(7+1)=3.465*10^8`

The required answer is 3.465 X 10⁸.