Please
    Excuse
        My Dear
            Aunt Sally

---

---

Please

    Parentheses
    (or other grouping symbols)

---

---

Excuse

    Exponents
    (powers or roots)

---

---

My Dear

    Multiply or Divide
    (from left to right)

---

---

Aunt Sally

    Add or Subtract
    (from left to right)

---

---

Parentheses
    Exponents
        Multiply or Divide
            Add or Subtract

---

---

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