Solve (81)^14*(27)/(49)^1/2

$$\frac { ( 81 ) ^ { 14 } \times ( 27 ) } { ( 49 ) ^ { 1 / 2 } }$$

Evaluate

$$\frac{14130386091738734504764811067}{7}\approx 2.018626585 \cdot 10^{27}$$

Solution Steps

Calculate 81 to the power of 14 and get 523347633027360537213511521.

$$\frac{523347633027360537213511521\times 27}{49^{\frac{1}{2}}}$$

Multiply 523347633027360537213511521 and 27 to get 14130386091738734504764811067.

$$\frac{14130386091738734504764811067}{49^{\frac{1}{2}}}$$

Calculate 49 to the power of \frac{1}{2} and get 7.

$$\frac{14130386091738734504764811067}{7}$$

Factor

$$\frac{3 ^ {59}}{7} = 2.018626584534105 \times 10^{27}\frac{1}{7} = 2.018626584534105 \times 10^{27}$$