Answer :
Sure! Let's solve the expression step-by-step. The expression given is:
[tex]\[ \left(\frac{5^2}{5 - 1}\right) + (5 \times 3) \][/tex]
### Step-by-Step Solution:
1. Calculate the exponent and division inside the parentheses:
[tex]\[ 5^2 = 25 \][/tex]
2. Subtract inside the parentheses for the denominator:
[tex]\[ 5 - 1 = 4 \][/tex]
Now the expression becomes:
[tex]\[ \frac{25}{4} \][/tex]
3. Perform the division:
[tex]\[ \frac{25}{4} = 6.25 \][/tex]
So, [tex]\(\frac{5^2}{5 - 1} = 6.25\)[/tex]
4. Calculate the multiplication part:
[tex]\[ 5 \times 3 = 15 \][/tex]
5. Add the results of the two parts:
[tex]\[ 6.25 + 15 = 21.25 \][/tex]
Therefore, the final result of the expression is:
[tex]\[ 21.25 \][/tex]
So, [tex]\(\left(\frac{5^2}{5 - 1}\right) + (5 \times 3) = 21.25\)[/tex].
[tex]\[ \left(\frac{5^2}{5 - 1}\right) + (5 \times 3) \][/tex]
### Step-by-Step Solution:
1. Calculate the exponent and division inside the parentheses:
[tex]\[ 5^2 = 25 \][/tex]
2. Subtract inside the parentheses for the denominator:
[tex]\[ 5 - 1 = 4 \][/tex]
Now the expression becomes:
[tex]\[ \frac{25}{4} \][/tex]
3. Perform the division:
[tex]\[ \frac{25}{4} = 6.25 \][/tex]
So, [tex]\(\frac{5^2}{5 - 1} = 6.25\)[/tex]
4. Calculate the multiplication part:
[tex]\[ 5 \times 3 = 15 \][/tex]
5. Add the results of the two parts:
[tex]\[ 6.25 + 15 = 21.25 \][/tex]
Therefore, the final result of the expression is:
[tex]\[ 21.25 \][/tex]
So, [tex]\(\left(\frac{5^2}{5 - 1}\right) + (5 \times 3) = 21.25\)[/tex].
