Solve 1/2*216^{2/3}+(5,27^-3)^0-81^0,75*(0,5)^-1

$$\frac { 1 } { 2 } \cdot 216 ^ { \frac { 2 } { 3 } } + ( 5,27 ^ { - 3 } ) ^ { 0 } - 81 ^ { 0,75 } \cdot ( 0,5 ) ^ { - 1 }$$

Evaluate

$$-35$$

Solution Steps

Calculate 216 to the power of \frac{2}{3} and get 36.

$$\frac{1}{2}\times 36+\left(5\times 27^{-3}\right)^{0}-81^{0,75}\times 0,5^{-1}$$

Multiply \frac{1}{2} and 36 to get 18.

$$18+\left(5\times 27^{-3}\right)^{0}-81^{0,75}\times 0,5^{-1}$$

Calculate 27 to the power of -3 and get \frac{1}{19683}.

$$18+\left(5\times \frac{1}{19683}\right)^{0}-81^{0,75}\times 0,5^{-1}$$

Multiply 5 and \frac{1}{19683} to get \frac{5}{19683}.

$$18+\left(\frac{5}{19683}\right)^{0}-81^{0,75}\times 0,5^{-1}$$

Calculate \frac{5}{19683} to the power of 0 and get 1.

$$18+1-81^{0,75}\times 0,5^{-1}$$

Add 18 and 1 to get 19.

$$19-81^{0,75}\times 0,5^{-1}$$

Calculate 81 to the power of 0,75 and get 27.

$$19-27\times 0,5^{-1}$$

Calculate 0,5 to the power of -1 and get 2.

$$19-27\times 2$$

Multiply 27 and 2 to get 54.

$$19-54$$

Subtract 54 from 19 to get -35.

$$-35$$

Factor

$$-35$$