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

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

Solve for x

$$x = \frac{121}{8} = 15\frac{1}{8} = 15.125$$

Steps for Solving Linear Equation

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

$$\frac{3}{4}-4+x\times \left(\frac{1}{2}\right)^{-1}\times 2^{0}=27$$

Subtract 4 from \frac{3}{4} to get -\frac{13}{4}.

$$-\frac{13}{4}+x\times \left(\frac{1}{2}\right)^{-1}\times 2^{0}=27$$

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

$$-\frac{13}{4}+x\times 2\times 2^{0}=27$$

Calculate 2 to the power of 0 and get 1.

$$-\frac{13}{4}+x\times 2\times 1=27$$

Multiply 2 and 1 to get 2.

$$-\frac{13}{4}+x\times 2=27$$

Add \frac{13}{4} to both sides.

$$x\times 2=27+\frac{13}{4}$$

Add 27 and \frac{13}{4} to get \frac{121}{4}.

$$x\times 2=\frac{121}{4}$$

Divide both sides by 2.

$$x=\frac{\frac{121}{4}}{2}$$

Express \frac{\frac{121}{4}}{2} as a single fraction.

$$x=\frac{121}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$x=\frac{121}{8}$$