Question

Evaluate the expression and write the result in decimal form:

Answer 1

`3.6\text{ }*10^2`

Step-by-step explanation:
`(3\text{ }*10^(-2))\text{ }*\text{ (12 }*10^3)`

Expanding and simplifying the expression:

`\begin{gathered} 3\text{ }*10^(-2)\text{ }*\text{ 12 }*10^3\text{ } \\ =\text{ 3 }*12\text{ }*10^(-2)\text{ }*10^3 \\ =\text{ 36 }*10^(-2)\text{ }*10^3 \end{gathered}`
`\begin{gathered} \text{When base of two terms are the same, the exponents will be brought together} \\ \text{The sign betw}een\text{ them is multiplication. The exponents will be added} \\ =\text{ 36 }*10^(-2+3) \\ =\text{ 36 }*10^1\text{ = 36 }*10 \\ =\text{ 360} \end{gathered}`
`\begin{gathered} \text{The result in decimal form:} \\ we\text{ will write in sci}entific\text{ notation} \\ 360\text{ = 3.60 }*10^2 \\ \\ =\text{ 3.6 }*10^2 \end{gathered}`