Solve (16)^frac{1{4}}6(343)^frac{1{3}}+18*(243)^frac{1{5}}-sqrt{196}

$$( 16 ) ^ { \frac { 1 } { 4 } } 6 ( 343 ) ^ { \frac { 1 } { 3 } } + 18 \times ( 243 ) ^ { \frac { 1 } { 5 } } - \sqrt { 196 }$$

Evaluate

$$124$$

Solution Steps

Calculate 16 to the power of \frac{1}{4} and get 2.

$$2\times 6\times 343^{\frac{1}{3}}+18\times 243^{\frac{1}{5}}-\sqrt{196}$$

Multiply 2 and 6 to get 12.

$$12\times 343^{\frac{1}{3}}+18\times 243^{\frac{1}{5}}-\sqrt{196}$$

Calculate 343 to the power of \frac{1}{3} and get 7.

$$12\times 7+18\times 243^{\frac{1}{5}}-\sqrt{196}$$

Multiply 12 and 7 to get 84.

$$84+18\times 243^{\frac{1}{5}}-\sqrt{196}$$

Calculate 243 to the power of \frac{1}{5} and get 3.

$$84+18\times 3-\sqrt{196}$$

Multiply 18 and 3 to get 54.

$$84+54-\sqrt{196}$$

Add 84 and 54 to get 138.

$$138-\sqrt{196}$$

Calculate the square root of 196 and get 14.

$$138-14$$

Subtract 14 from 138 to get 124.

$$124$$

Factor

$$2^{2}\times 31$$