Solve 216^frac{1{3}}+81^frac{1{4}}=16^frac{3{4}}

$$216 ^ { \frac { 1 } { 3 } } + 81 ^ { \frac { 1 } { 4 } } = 16 ^ { \frac { 3 } { 4 } }$$

Verify

Solution Steps

Calculate 216 to the power of \frac{1}{3} and get 6.

$$6+81^{\frac{1}{4}}=16^{\frac{3}{4}}$$

Calculate 81 to the power of \frac{1}{4} and get 3.

$$6+3=16^{\frac{3}{4}}$$

Add 6 and 3 to get 9.

$$9=16^{\frac{3}{4}}$$

Calculate 16 to the power of \frac{3}{4} and get 8.

$$9=8$$

Compare 9 and 8.

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