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The expression 3²(2+7)×[3(2+1)]² can be written in the form of 9r. what is r?

User Ygorg
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Final answer:

The value of 'r' in the expression 3²(2+7)×[3(2+1)]² when rewritten as 9r is 81. This is determined by applying the order of operations (PEMDAS/BODMAS) to simplify the expression.

Step-by-step explanation:

The expression 3²(2+7)×[3(2+1)]² can be rewritten using the order of operations (also known as PEMDAS/BODMAS). This acronym represents Parentheses/Brackets, Exponents/Orders, Multiplication and Division, and Addition and Subtraction. First, simplify the operations inside the parentheses and brackets. Then, apply the exponents. Finally, perform the multiplication.

Therefore, starting with the expression: 3²(2+7)×[3(2+1)]², we solve step by step:

  • First, simplify inside the parentheses: 3²(9)×[3(3)]² which becomes 3²(9)×(9)².
  • Next, apply the exponents: 9×9×81.
  • Finally, perform the multiplication: 729.

Given the equation 9r = 729, you can solve for r by dividing by 9. Therefore, r = 729 / 9 = 81.

Learn more about order of operations

User Tahoar
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