Answer :
Let's solve the expression step-by-step:
1. Calculate the denominator of the fraction:
The expression inside the parentheses is [tex]\(\frac{12}{2^3 - 4}\)[/tex].
First, compute [tex]\(2^3\)[/tex], which is 8.
Then, subtract 4 from 8:
[tex]\[ 8 - 4 = 4 \][/tex]
2. Evaluate the fraction:
Now, the fraction becomes [tex]\(\frac{12}{4}\)[/tex].
Divide 12 by 4:
[tex]\[ \frac{12}{4} = 3 \][/tex]
3. Multiply by 5:
That result, 3, is then multiplied by 5:
[tex]\[ 5 \times 3 = 15 \][/tex]
So, the value of the expression is 15. Therefore, the correct answer is (B) 15.
1. Calculate the denominator of the fraction:
The expression inside the parentheses is [tex]\(\frac{12}{2^3 - 4}\)[/tex].
First, compute [tex]\(2^3\)[/tex], which is 8.
Then, subtract 4 from 8:
[tex]\[ 8 - 4 = 4 \][/tex]
2. Evaluate the fraction:
Now, the fraction becomes [tex]\(\frac{12}{4}\)[/tex].
Divide 12 by 4:
[tex]\[ \frac{12}{4} = 3 \][/tex]
3. Multiply by 5:
That result, 3, is then multiplied by 5:
[tex]\[ 5 \times 3 = 15 \][/tex]
So, the value of the expression is 15. Therefore, the correct answer is (B) 15.
