To solve the expression \((5 \times 10^4) - (1.25 \times 10^2)\), we first need to express both terms with the same exponent for the powers of 10, if possible.
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Convert \(1.25 \times 10^2\) to have the same exponent as \(5 \times 10^4\):
\[ 1.25 \times 10^2 = 1.25 \times 10^2 \times \frac{10^2}{10^2} = 1.25 \times 10^4 \times 10^{-2} = 0.0125 \times 10^4 \]
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Now the expression becomes:
\[ (5 \times 10^4) - (0.0125 \times 10^4) \]
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Since both terms are now in the form of \(10^4\), we can combine them:
\[ (5 - 0.0125) \times 10^4 = 4.9875 \times 10^4 \]
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The final result is:
\[ 4.9875 \times 10^4 \]
So, the answer in scientific notation is:
\[ 4.9875 \times 10^4 \]
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