# Evaluate 1/6*(( square root of 36)÷(3^-2))+(4^3)÷(|-8|)

16⋅(36÷3-2)+43÷|-8|
Simplify each term.
Combine.
1366⋅3-2+43÷|-8|
Move 3-2 to the numerator using the negative exponent rule 1b-n=bn.
36⋅326+43÷|-8|
Simplify the numerator.
Rewrite 36 as 62.
62⋅326+43÷|-8|
Pull terms out from under the radical, assuming positive real numbers.
6⋅326+43÷|-8|
Raise 3 to the power of 2.
6⋅96+43÷|-8|
6⋅96+43÷|-8|
Multiply 6 by 9.
546+43÷|-8|
Divide 54 by 6.
9+43÷|-8|
Rewrite the division as a fraction.
9+43|-8|
Raise 4 to the power of 3.
9+64|-8|
The absolute value is the distance between a number and zero. The distance between -8 and 0 is 8.
9+648
Divide 64 by 8.
9+8
9+8
17
Evaluate 1/6*(( square root of 36)÷(3^-2))+(4^3)÷(|-8|)

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