Solve 4^1/8-1^1/4

$${ 4 }^{ } \frac{ 1 }{ 8 } - { 1 }^{ } \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Calculate 4 to the power of 1 and get 4.

$$4\times \frac{1}{8}-1^{1}\times \frac{1}{4}$$

Multiply 4 and \frac{1}{8} to get \frac{4}{8}.

$$\frac{4}{8}-1^{1}\times \frac{1}{4}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}-1^{1}\times \frac{1}{4}$$

Calculate 1 to the power of 1 and get 1.

$$\frac{1}{2}-1\times \frac{1}{4}$$

Multiply 1 and \frac{1}{4} to get \frac{1}{4}.

$$\frac{1}{2}-\frac{1}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{2}{4}-\frac{1}{4}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{4}$$

Subtract 1 from 2 to get 1.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$