Solve -2sqrt[4]{5}-6*3^5*9^2*27^-1=

$$- 2 \sqrt[ 4 ] { 5 } - 6 \cdot 3 ^ { 5 } \cdot 9 ^ { 2 } \cdot 27 ^ { - 1 } =$$

Evaluate

$$-2\sqrt[4]{5}-4374\approx -4376.990697562$$

Solution Steps

Calculate 3 to the power of 5 and get 243.

$$-2\sqrt[4]{5}-6\times 243\times 9^{2}\times 27^{-1}$$

Multiply 6 and 243 to get 1458.

$$-2\sqrt[4]{5}-1458\times 9^{2}\times 27^{-1}$$

Calculate 9 to the power of 2 and get 81.

$$-2\sqrt[4]{5}-1458\times 81\times 27^{-1}$$

Multiply 1458 and 81 to get 118098.

$$-2\sqrt[4]{5}-118098\times 27^{-1}$$

Calculate 27 to the power of -1 and get \frac{1}{27}.

$$-2\sqrt[4]{5}-118098\times \frac{1}{27}$$

Multiply 118098 and \frac{1}{27} to get 4374.

$$-2\sqrt[4]{5}-4374$$

Factor

$$2\left(-\sqrt[4]{5}-2187\right)$$