Question

$-\frac{1}{5}(5)^2 + 2(5) + 4$

Explanation:

Step1: Calculate the exponent term

First, calculate \((5)^2\). By the definition of exponentiation, \(a^n\) means multiplying \(a\) by itself \(n\) times. So \((5)^2 = 5\times5 = 25\).
The expression becomes \(-\frac{1}{5}\times25 + 2\times5 + 4\).

Step2: Perform the multiplication operations

For the first term, \(-\frac{1}{5}\times25\): we know that \(\frac{25}{5}=5\), so \(-\frac{1}{5}\times25=- 5\).
For the second term, \(2\times5 = 10\).
Now the expression is \(-5 + 10+4\).

Step3: Perform the addition operations

First, add \(-5\) and \(10\): \(-5 + 10=5\).
Then add \(5\) and \(4\): \(5 + 4 = 9\).

Answer:

\(9\)