Solve frac{sqrt{49}}{sqrt{64}}*frac{sqrt{16}}{sqrt[3]{343}}=

$$\frac { \sqrt { 49 } } { \sqrt { 64 } } \times \frac { \sqrt { 16 } } { \sqrt[ 3 ] { 343 } } =$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Calculate the square root of 49 and get 7.

$$\frac{7}{\sqrt{64}}\times \frac{\sqrt{16}}{\sqrt[3]{343}}$$

Calculate the square root of 64 and get 8.

$$\frac{7}{8}\times \frac{\sqrt{16}}{\sqrt[3]{343}}$$

Calculate the square root of 16 and get 4.

$$\frac{7}{8}\times \frac{4}{\sqrt[3]{343}}$$

Calculate \sqrt[3]{343} and get 7.

$$\frac{7}{8}\times \frac{4}{7}$$

Multiply \frac{7}{8} and \frac{4}{7} to get \frac{1}{2}.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$