Chapter 5: Q54. (page 227)

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

Short Answer

Expert verified

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

Step by step solution

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:

$\begin{matrix} {(6.5 \times 10^{4})}^{2} = {(6.5)}^{2} \times {(10^{4})}^{2} \\ = 42.25 \times 10^{8} \\ = 42.25 \times 10^{8} \times \frac{10}{10} (\begin{array}{l} Multiplyand \\ divideby10 \end{array}) \\ = 4.225 \times 10^{9} \end{matrix}$

Step 3. Conclusion.

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

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

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Expressing the given number in scientific notation.

Step 3. Conclusion.

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Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Expressing the given number in scientific notation.

Step 3. Conclusion.

One App. One Place for Learning.

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