Ask a New Question
Menu

Simplify the expression using the order of operations.

6^2÷2×5–3
= ÷2×5–3
= ×5–3
= –3
=

1 answer

To simplify the expression \( 6^2 \div 2 \times 5 - 3 \), follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

  1. Calculate the exponent: \[ 6^2 = 36 \] So the expression becomes: \[ 36 \div 2 \times 5 - 3 \]

  2. Next, perform the division and multiplication from left to right: \[ 36 \div 2 = 18 \] Now the expression is: \[ 18 \times 5 - 3 \]

  3. Now, perform the multiplication: \[ 18 \times 5 = 90 \] The expression updates to: \[ 90 - 3 \]

  4. Finally, perform the subtraction: \[ 90 - 3 = 87 \]

Therefore, the simplified expression evaluates to: \[ \boxed{87} \]