Answer: 163
Explanation:
The expression (4^2)+6×(5^2)−(3^3)÷(3^2) represents a mathematical calculation that needs to be evaluated. The order of operations is important here, so we'll need to follow the rules of PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to simplify the expression.
First, we need to evaluate the exponents. 4^2 means 4 raised to the power of 2, or 4 multiplied by itself twice, which equals 16. Similarly, 5^2 means 5 multiplied by itself twice, or 25. And 3^3 means 3 multiplied by itself three times, or 27. Finally, 3^2 means 3 multiplied by itself twice, or 9.
So, now let's substitute these values back into the original expression, we get:
(16) + 6×(25) - (27) ÷ (9)
Next, we need to perform any multiplication and division from left to right. Starting with 6×(25) which equals 150. Then, we need to evaluate the division (27) ÷ (9) which equals 3. So, the expression becomes:
16 + 150 - 3
Finally, we perform the addition and subtraction from left to right, so we get:
163
Therefore, the value of the expression (4^2)+6×(5^2)−(3^3)÷(3^2) is 163.