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6+6^2÷9-5
Put parentheses around 9-5 making it (9-5)
6+6^2÷(9-5)
Follow the "PE(MD)(AS)" order of operations:
Do the parentheses (9-5) = 4 first and replace (9-5) by 4:
6+6^2÷4
Do the exponent 6^2 = 36 second and replace 6^2 by 36:
6+36÷4
Do the division 36÷4 = 9 third and replace 36÷4 by 9:
6+9
Do the addition 6+9 = 15 fourth (last) and replace the 6+9 by 15:
15
That's it.
Edwin