Questions: Calculate: (4.93 × 10^-5)(-2.00 × 10^14) Write your answer in scientific notation.

Calculate: (4.93 × 10^-5)(-2.00 × 10^14) Write your answer in scientific notation.
Transcript text: Calculate: \[ \left(4.93 \times 10^{-5}\right)\left(-2.00 \times 10^{14}\right) \] Write your answer in scientific notation.
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Solution

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Solution Steps

Step 1: Multiply the Coefficients

First, multiply the coefficients of the two numbers:

\[ 4.93 \times (-2.00) = -9.86 \]

Step 2: Add the Exponents

Next, add the exponents of the powers of 10:

\[ -5 + 14 = 9 \]

Step 3: Combine the Results

Combine the results from the previous steps to express the product in scientific notation:

\[ -9.86 \times 10^9 \]

Final Answer

The final answer in scientific notation is:

\[ \boxed{-9.86 \times 10^9} \]

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