Questions: Calculate. (-2.0 × 10^6)^4 Write your answer in scientific notation.

Calculate. (-2.0 × 10^6)^4 Write your answer in scientific notation.
Transcript text: Calculate. \[ \left(-2.0 \times 10^{6}\right)^{4} \] Write your answer in scientific notation.
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Solution

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Solution Steps

Step 1: Calculate the Base

First, we calculate the base value: \[ -2.0 \times 10^{6} = -2000000.0 \]

Step 2: Raise the Base to the Power of 4

Next, we raise the base to the power of 4: \[ \left(-2000000.0\right)^{4} = 1.6 \times 10^{25} \]

Step 3: Express in Scientific Notation

Finally, we express the result in scientific notation: \[ 1.60 \times 10^{25} \]

Final Answer

\(\boxed{1.60 \times 10^{25}}\)

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