Solve (81)^frac{3{4}}-(1/32)^-frac{2{5}}+x(1/2)^-1*2^0=27

$$( 81 ) ^ { \frac { 3 } { 4 } } - ( \frac { 1 } { 32 } ) ^ { - \frac { 2 } { 5 } } + x ( \frac { 1 } { 2 } ) ^ { - 1 } \cdot 2 ^ { 0 } = 27$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$27-\left(\frac{1}{32}\right)^{-\frac{2}{5}}+x\times \left(\frac{1}{2}\right)^{-1}\times 2^{0}=27$$

Calculate \frac{1}{32} to the power of -\frac{2}{5} and get 4.

$$27-4+x\times \left(\frac{1}{2}\right)^{-1}\times 2^{0}=27$$

Subtract 4 from 27 to get 23.

$$23+x\times \left(\frac{1}{2}\right)^{-1}\times 2^{0}=27$$

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

$$23+x\times 2\times 2^{0}=27$$

Calculate 2 to the power of 0 and get 1.

$$23+x\times 2\times 1=27$$

Multiply 2 and 1 to get 2.

$$23+x\times 2=27$$

Subtract 23 from both sides.

$$x\times 2=27-23$$

Subtract 23 from 27 to get 4.

$$x\times 2=4$$

Divide both sides by 2.

$$x=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$x=2$$