simplify 5+5^2(23)-(-27)
First evaluate expressions inside parentheses:
5 + 5^2 * 23 + 27
exponents next:
5 + 25 * 23 + 27
Then multiply:
5 + 575 + 27
Now the addition:
607
To simplify the expression 5 + 5^2(23) - (-27), you should follow the order of operations (PEMDAS/BODMAS) to ensure that you handle each operation correctly. The order of operations is as follows:
1. Parentheses or Brackets
2. Exponents or Powers
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Let's simplify the expression step by step:
Step 1: Evaluate the exponent
5 + 5^2(23) - (-27) becomes 5 + 5^2 * 23 - (-27)
5^2 is calculated by squaring 5, which is 5 * 5 = 25.
So now our expression becomes 5 + 25 * 23 - (-27)
Step 2: Parentheses or Brackets
In this expression, we have (-27) within parentheses. To remove the parentheses, we can apply the negation distributive property, which changes the sign of each term inside the parentheses.
5 + 25 * 23 - (-27) becomes 5 + 25 * 23 + 27
Step 3: Multiplication
Now we need to multiply 25 by 23: 25 * 23 = 575.
Our expression becomes 5 + 575 + 27.
Step 4: Addition
Finally, we add the numbers together: 5 + 575 + 27 = 607.
Therefore, the simplified expression is 607.