Q54. - Algebra 2

Question

Evaluate ${(6.5\times {10}^4)}^2$ . Express the result in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is $4.225\times {10}^9$ .

Step 1. Write down the given expression.

The given number is ${(6.5\times {10}^4)}^2$ .

Step 2. Expressing the given number in scientific notation.

The number  ${(6.5\times {10}^4)}^2$ in scientific notation is expressed as:

$\begin{array}{c}{(6.5\times {10}^4)}^2={\left(6.5\right)}^2\times {\left({10}^4\right)}^2\\ =42.25\times {10}^8\\ =42.25\times {10}^8\times \frac{10}{10}\left(\begin{array}{l}\text{Multiply and}\\ \text{divide by 10}\end{array}\right)\\ =4.225\times {10}^9\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is$4.225\times {10}^9$  .