Solve 0000009/sqrt{7}*3^1/4/4*2^6/8/sqrt{7}

$$\frac { 0000009 } { \sqrt { 7 } } \times \frac { 3 ^ { 1 / 4 } } { 4 } \times \frac { 2 ^ { 6 / 8 } } { \sqrt { 7 } }$$

Evaluate

$$0$$

Solution Steps

Multiply 0 and 0 to get 0.

$$\frac{0\times 0\times 0\times 0\times 0\times 9}{\sqrt{7}}\times \frac{3^{\frac{1}{4}}}{4}\times \frac{2^{\frac{6}{8}}}{\sqrt{7}}$$

Multiply 0 and 0 to get 0.

$$\frac{0\times 0\times 0\times 0\times 9}{\sqrt{7}}\times \frac{3^{\frac{1}{4}}}{4}\times \frac{2^{\frac{6}{8}}}{\sqrt{7}}$$

Multiply 0 and 0 to get 0.

$$\frac{0\times 0\times 0\times 9}{\sqrt{7}}\times \frac{3^{\frac{1}{4}}}{4}\times \frac{2^{\frac{6}{8}}}{\sqrt{7}}$$

Multiply 0 and 0 to get 0.

$$\frac{0\times 0\times 9}{\sqrt{7}}\times \frac{3^{\frac{1}{4}}}{4}\times \frac{2^{\frac{6}{8}}}{\sqrt{7}}$$

Multiply 0 and 0 to get 0.

$$\frac{0\times 9}{\sqrt{7}}\times \frac{3^{\frac{1}{4}}}{4}\times \frac{2^{\frac{6}{8}}}{\sqrt{7}}$$

Multiply 0 and 9 to get 0.

$$\frac{0}{\sqrt{7}}\times \frac{3^{\frac{1}{4}}}{4}\times \frac{2^{\frac{6}{8}}}{\sqrt{7}}$$

Zero divided by any non-zero term gives zero.

$$0\times \frac{3^{\frac{1}{4}}}{4}\times \frac{2^{\frac{6}{8}}}{\sqrt{7}}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$0\times \frac{3^{\frac{1}{4}}}{4}\times \frac{2^{\frac{3}{4}}}{\sqrt{7}}$$

Rationalize the denominator of \frac{2^{\frac{3}{4}}}{\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.

$$0\times \frac{3^{\frac{1}{4}}}{4}\times \frac{2^{\frac{3}{4}}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}$$

The square of \sqrt{7} is 7.

$$0\times \frac{3^{\frac{1}{4}}}{4}\times \frac{2^{\frac{3}{4}}\sqrt{7}}{7}$$

Anything times zero gives zero.

$$0$$

Factor

$$0$$