Question

EXPRESSIONS WITH FRACTION BARS Evaluate the expression. $$ \frac{(2+5)^{2}}{3^{2}-2} $$

Short answer

The simplified form of this expression is 7

Step-by-step solution

Solve the Parentheses

First, we need to solve the equation inside the parentheses which is \(2+5\). This equals to 7.

Apply the Exponents

Applying the square to the result from step 1, \(7^{2}\) ,we get 49. Similarly, calculate the square of 3 which is \(3^{2}=9\).

Final Calculation

Lastly, calculate the rest of the expression: divide 49 by the result of the subtraction \(9-2\) which equals 49/7 = 7