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

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

Evaluate

$$9720$$

Solution Steps

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

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

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

$$10\times 27\times 36$$

Multiply 10 and 27 to get 270.

$$270\times 36$$

Multiply 270 and 36 to get 9720.

$$9720$$

Factor

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