Math

QuestionCalculate the expression: 625×2+2(97)6^{2} - 5 \times 2 + 2(9 - 7). What is the result?

Studdy Solution

STEP 1

Assumptions1. We follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMAS.

STEP 2

First, we need to simplify the expression inside the parentheses.
625×2+2(97)6^{2}-5 \times2+2(9-7)

STEP 3

Now, calculate the value inside the parentheses.
625×2+2(2)6^{2}-5 \times2+2(2)

STEP 4

Next, calculate the exponent.
36×2+2(2)36- \times2+2(2)

STEP 5

Then, perform the multiplication operations.
3610+436-10+4

STEP 6

Finally, perform the addition and subtraction operations from left to right.
361436-14

STEP 7

Calculate the final result.
2222The result of the given mathematical expression is22.

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