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What is the value of the expression 9+3×5210×69+3\times5^{2}-10\times6?

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Q. What is the value of the expression 9+3×5210×69+3\times5^{2}-10\times6?
  1. Identify Order of Operations: Identify the order of operations to solve the expression.\newlineAccording to the order of operations (PEMDAS/BODMAS), we first calculate any expressions within parentheses, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.
  2. Calculate Exponent: Calculate the exponent in the expression.\newlineThe expression contains 525^{2}, which means 55 squared.\newline52=5×5=255^{2} = 5 \times 5 = 25
  3. Perform Multiplication Operations: Perform the multiplication operations.\newlineNow we have two multiplication operations in the expression: 3×253\times25 and 10×610\times6.\newline3×25=753\times25 = 75\newline10×6=6010\times6 = 60
  4. Substitute Results: Substitute the results of the exponent and multiplication back into the expression. The expression now becomes 9+75609 + 75 - 60.
  5. Perform Addition and Subtraction: Perform the addition and subtraction operations from left to right.\newlineFirst, add 99 and 7575.\newline9+75=849 + 75 = 84\newlineThen, subtract 6060 from the result.\newline8460=2484 - 60 = 24

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