Solve (27)^frac{4{3}}+(32)^0.8+(0.8)^-1+(0.8)^0

$$( 27 ) ^ { \frac { 4 } { 3 } } + ( 32 ) ^ { 0.8 } + ( 0.8 ) ^ { - 1 } + ( 0.8 ) ^ { 0 }$$

Evaluate

$$99.25$$

Solution Steps

Calculate 27 to the power of \frac{4}{3} and get 81.

$$81+32^{0.8}+0.8^{-1}+0.8^{0}$$

Calculate 32 to the power of 0.8 and get 16.

$$81+16+0.8^{-1}+0.8^{0}$$

Add 81 and 16 to get 97.

$$97+0.8^{-1}+0.8^{0}$$

Calculate 0.8 to the power of -1 and get 1.25.

$$97+1.25+0.8^{0}$$

Add 97 and 1.25 to get 98.25.

$$98.25+0.8^{0}$$

Calculate 0.8 to the power of 0 and get 1.

$$98.25+1$$

Add 98.25 and 1 to get 99.25.

$$99.25$$

Factor

$$\frac{397}{2 ^ {2}} = 99\frac{1}{4} = 99.25$$