Solve (2/3)^0+(1)^2(1/3)^-3|3|

$$( \frac { 2 } { 3 } ) ^ { 0 } + ( 1 ) ^ { 2 } ( \frac { 1 } { 3 } ) ^ { - 3 } | 3 |$$

Evaluate

$$82$$

Solution Steps

Calculate \frac{2}{3} to the power of 0 and get 1.

$$1+1^{2}\times \left(\frac{1}{3}\right)^{-3}|3|$$

Calculate 1 to the power of 2 and get 1.

$$1+1\times \left(\frac{1}{3}\right)^{-3}|3|$$

Calculate \frac{1}{3} to the power of -3 and get 27.

$$1+1\times 27|3|$$

Multiply 1 and 27 to get 27.

$$1+27|3|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 3 is 3.

$$1+27\times 3$$

Multiply 27 and 3 to get 81.

$$1+81$$

Add 1 and 81 to get 82.

$$82$$

Factor

$$2\times 41$$