To express the number \(453100\) in scientific notation, we first need to write it as a number between \(1\) and \(10\) multiplied by a power of \(10\).
We can do this as follows:
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Move the decimal point in \(453100\) to the left until we have a number between \(1\) and \(10\). We can move it 5 places to the left to get \(4.53100\).
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Since we moved the decimal point 5 places to the left, we multiply by \(10^5\).
Thus, \(453100\) can be written in scientific notation as:
\[ 4.53100 \times 10^5 \]
In this notation, the exponent for the power of \(10\) is \(5\).
So, the value of the exponent is 5.