Solve (405*10^-10)^3*2*7*6*023*10^23/27

$$\frac { ( 405 \times 10 ^ { - 10 } ) ^ { 3 } \times 2 \cdot 7 \times 6 \cdot 023 \times 10 ^ { 23 } } { 27 }$$

Evaluate

$$0$$

Solution Steps

Calculate 10 to the power of -10 and get \frac{1}{10000000000}.

$$\frac{\left(405\times \frac{1}{10000000000}\right)^{3}\times 2\times 7\times 6\times 0\times 23\times 10^{23}}{27}$$

Multiply 405 and \frac{1}{10000000000} to get \frac{81}{2000000000}.

$$\frac{\left(\frac{81}{2000000000}\right)^{3}\times 2\times 7\times 6\times 0\times 23\times 10^{23}}{27}$$

Calculate \frac{81}{2000000000} to the power of 3 and get \frac{531441}{8000000000000000000000000000}.

$$\frac{\frac{531441}{8000000000000000000000000000}\times 2\times 7\times 6\times 0\times 23\times 10^{23}}{27}$$

Multiply \frac{531441}{8000000000000000000000000000} and 2 to get \frac{531441}{4000000000000000000000000000}.

$$\frac{\frac{531441}{4000000000000000000000000000}\times 7\times 6\times 0\times 23\times 10^{23}}{27}$$

Multiply \frac{531441}{4000000000000000000000000000} and 7 to get \frac{3720087}{4000000000000000000000000000}.

$$\frac{\frac{3720087}{4000000000000000000000000000}\times 6\times 0\times 23\times 10^{23}}{27}$$

Multiply \frac{3720087}{4000000000000000000000000000} and 6 to get \frac{11160261}{2000000000000000000000000000}.

$$\frac{\frac{11160261}{2000000000000000000000000000}\times 0\times 23\times 10^{23}}{27}$$

Multiply \frac{11160261}{2000000000000000000000000000} and 0 to get 0.

$$\frac{0\times 23\times 10^{23}}{27}$$

Multiply 0 and 23 to get 0.

$$\frac{0\times 10^{23}}{27}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{0\times 100000000000000000000000}{27}$$

Multiply 0 and 100000000000000000000000 to get 0.

$$\frac{0}{27}$$

Zero divided by any non-zero number gives zero.

$$0$$

Factor

$$0$$