# Evaluate 5^3- square root of 16*(2^4+(6^2-6^0)÷7) 53-16⋅(24+(62-60)÷7)
Simplify each term.
Raise 5 to the power of 3.
125-16⋅(24+(62-60)÷7)
Rewrite 16 as 42.
125-42⋅(24+(62-60)÷7)
Pull terms out from under the radical, assuming positive real numbers.
125-1⋅4⋅(24+(62-60)÷7)
Multiply -1 by 4.
125-4⋅(24+(62-60)÷7)
Simplify each term.
Raise 2 to the power of 4.
125-4⋅(16+(62-60)÷7)
Rewrite the division as a fraction.
125-4⋅(16+62-607)
Simplify the numerator.
Raise 6 to the power of 2.
125-4⋅(16+36-607)
Anything raised to 0 is 1.
125-4⋅(16+36-1⋅17)
Multiply -1 by 1.
125-4⋅(16+36-17)
Subtract 1 from 36.
125-4⋅(16+357)
125-4⋅(16+357)
Divide 35 by 7.
125-4⋅(16+5)
125-4⋅(16+5)
Add 16 and 5.
125-4⋅21
Multiply -4 by 21.
125-84
125-84
Subtract 84 from 125.
41
Evaluate 5^3- square root of 16*(2^4+(6^2-6^0)÷7)

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