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Correct the formatting of the following expression and resolve any ambiguity in its meaning. Also, ensure proper LaTeX syntax.

Response:
[tex]$\left( \frac{5^2}{5} - 1 \right) + 5 \times 3$[/tex]


Sagot :

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].