Solve left(5*8right)^22sqrt{4/9}

$${ \left(5 \times 8 \right) }^{ 22 } \sqrt{ \frac{ 4 }{ 9 } }$$

Evaluate

$$\frac{351843720888320000000000000000000000}{3}\approx 1.172812403 \cdot 10^{35}$$

Solution Steps

Multiply 5 and 8 to get 40.

$$40^{22}\sqrt{\frac{4}{9}}$$

Calculate 40 to the power of 22 and get 175921860444160000000000000000000000.

$$175921860444160000000000000000000000\sqrt{\frac{4}{9}}$$

Rewrite the square root of the division \frac{4}{9} as the division of square roots \frac{\sqrt{4}}{\sqrt{9}}. Take the square root of both numerator and denominator.

$$175921860444160000000000000000000000\times \frac{2}{3}$$

Multiply 175921860444160000000000000000000000 and \frac{2}{3} to get \frac{351843720888320000000000000000000000}{3}.

$$\frac{351843720888320000000000000000000000}{3}$$

Factor

$$\frac{2 ^ {67} \cdot 5 ^ {22}}{3} = 1.1728124029610667 \times 10^{35}\frac{2}{3} = 1.1728124029610667 \times 10^{35}$$