Solve frac{left(a^0*5-b^0*5right){b}^frac{1{4}}}{left(a-bright)*{b}^frac{3{4}}}

$$\frac{ \left( { a }^{ 0 \cdot 5 } - { b }^{ 0 \cdot 5 } \right) { b }^{ \frac{ 1 }{ 4 } } }{ \left( a-b \right) \times { b }^{ \frac{ 3 }{ 4 } } }$$

Evaluate

$$0$$

Solution Steps

Cancel out \sqrt[4]{b} in both numerator and denominator.

$$\frac{a^{0}-b^{0}}{\sqrt{b}\left(a-b\right)}$$

Calculate a to the power of 0 and get 1.

$$\frac{1-b^{0}}{\sqrt{b}\left(a-b\right)}$$

Calculate b to the power of 0 and get 1.

$$\frac{1-1}{\sqrt{b}\left(a-b\right)}$$

Subtract 1 from 1 to get 0.

$$\frac{0}{\sqrt{b}\left(a-b\right)}$$

Use the distributive property to multiply \sqrt{b} by a-b.

$$\frac{0}{\sqrt{b}a-\sqrt{b}b}$$

Zero divided by any non-zero term gives zero.

$$0$$

Factor

$$0$$