Solve 100^frac{1{2}}*81^frac{3{4}}*36^frac{1{2}}=

$$100 ^ { \frac { 1 } { 2 } } \cdot 81 ^ { \frac { 3 } { 4 } } \cdot 36 ^ { \frac { 1 } { 2 } } =$$

Evaluate

$$1620$$

Solution Steps

Calculate 100 to the power of \frac{1}{2} and get 10.

$$10\times 81^{\frac{3}{4}}\times 36^{\frac{1}{2}}$$

Calculate 81 to the power of \frac{3}{4} and get 27.

$$10\times 27\times 36^{\frac{1}{2}}$$

Multiply 10 and 27 to get 270.

$$270\times 36^{\frac{1}{2}}$$

Calculate 36 to the power of \frac{1}{2} and get 6.

$$270\times 6$$

Multiply 270 and 6 to get 1620.

$$1620$$

Factor

$$2^{2}\times 3^{4}\times 5$$