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Write 1000010000 as a power of 1010. Write your answer in the form 10𝑥10 x , where 𝑥x is the power

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Solution

To write 1000010000 as a power of 1010, we need to express 1000010000 in terms of 10 raised to some power x.

Step 1: Write 1000010000 in scientific notation. This is done by moving the decimal point to the right of the first non-zero digit and counting the number of places moved. In this case, we move the decimal 9 places to the left, so we get 1.000010000 x 10^9.

Step 2: Now, we need to express this in terms of 10 raised to some power x. Since 1010 = 10^1, we can say that 1.000010000 x 10^9 = 10^9.

Step 3: Therefore, 1000010000 can be written as 10^9 in terms of 1010. So, x = 9.

So, 1000010000 = 10^9 in terms of 1010.

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