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To simplify [tex]36 \div \left(27(3)^2 + 5\right)[/tex], follow these steps:

1. Evaluate the exponent: [tex](3)^2[/tex].
2. Multiply: [tex]27 \times \text{(result from step 1)}[/tex].
3. Add 5 to the result from step 2.
4. Divide 36 by the result from step 3.

Answer :

To simplify the expression [tex]\(36 \div (27(3)^2 + 5)\)[/tex], we can break it down into several straightforward steps.

1. Evaluate the exponent:
- First, calculate [tex]\(3^2\)[/tex].
- [tex]\(3^2 = 9\)[/tex].

2. Multiply the result of the exponent:
- Next, multiply [tex]\(27\)[/tex] by the result from the first step.
- [tex]\(27 \times 9 = 243\)[/tex].

3. Add 5 to the multiplication result:
- Then, add [tex]\(5\)[/tex] to what you obtained from the multiplication.
- [tex]\(243 + 5 = 248\)[/tex].

4. Divide 36 by the result from the addition:
- Finally, divide [tex]\(36\)[/tex] by the sum.
- [tex]\(36 \div 248 \approx 0.1452\)[/tex].

Thus, the simplified result of the expression is approximately [tex]\(0.1452\)[/tex].

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