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Simplify the following expression:

[tex]\[ \frac{86 - 3^{4} + 6112}{1} \][/tex]

Sagot :

To solve the expression [tex]\(\frac{86 - 3^{4} + 6112}{1}\)[/tex], let's break it down and solve it step by step.

1. Calculate the exponent [tex]\(3^4\)[/tex]:
[tex]\[ 3^4 = 3 \times 3 \times 3 \times 3 = 81 \][/tex]

2. Substitute [tex]\(3^4\)[/tex] with 81 in the expression:
[tex]\[ 86 - 81 + 6112 \][/tex]

3. Perform the subtraction [tex]\(86 - 81\)[/tex]:
[tex]\[ 86 - 81 = 5 \][/tex]

4. Add 6112 to 5:
[tex]\[ 5 + 6112 = 6117 \][/tex]

5. Divide the result by 1:
[tex]\[ \frac{6117}{1} = 6117 \][/tex]

So, the value of the expression [tex]\(\frac{86 - 3^{4} + 6112}{1}\)[/tex] is [tex]\(\boxed{6117}\)[/tex].
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