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Scientific notation of 10 to the power of negative 9 times (2times 10 square)squared

Scientific notation of 10 to the power of negative 9 times (2times 10 square)squared-example-1

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First, we expand
(2 \cdot 10^2)^2 as a regular scientific notation expression. By squaring each term separately, we find that this is equal to
4 \cdot 10^4.

Then, we multiply the other term:
4 \cdot 10^4 \cdot 10^(-9). Note that multiplying exponents together results in adding the powers, so we have a final answer of
4 \cdot 10^(-5).
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