Question

use the order of operations to find the value of the following expression.
$25 \div \left5^2 \div (7 - 2)\
ight - (-8)$

$25 \div \left5^2 \div (7 - 2)\
ight - (-8) = \square$
(simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Solve innermost parentheses

First, solve the expression inside the innermost parentheses: \(7 - 2 = 5\).

Step2: Solve exponentiation

Next, handle the exponentiation: \(5^2 = 25\).

Step3: Solve division inside brackets

Now, perform the division inside the brackets: \(25\div5 = 5\).

Step4: Solve outer division

Then, do the outer division: \(25\div5 = 5\).

Step5: Solve subtraction of negative

Finally, handle the subtraction of a negative (which is addition): \(5 - (-8)=5 + 8 = 13\).

Answer:

13