Solve sqrt{10^-140*16/1*8*10^-5}

$$\sqrt{ { 10 }^{ -14 } \frac{ 0 \cdot 16 }{ 1 \cdot 8 \times { 10 }^{ -5 } } }$$

Evaluate

$$0$$

Solution Steps

Calculate 10 to the power of -14 and get \frac{1}{100000000000000}.

$$\sqrt{\frac{1}{100000000000000}\times \frac{0\times 16}{1\times 8\times 10^{-5}}}$$

Cancel out 8 in both numerator and denominator.

$$\sqrt{\frac{1}{100000000000000}\times \frac{0}{10^{-5}}}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\sqrt{\frac{1}{100000000000000}\times \frac{0}{\frac{1}{100000}}}$$

Zero divided by any non-zero number gives zero.

$$\sqrt{\frac{1}{100000000000000}\times 0}$$

Multiply \frac{1}{100000000000000} and 0 to get 0.

$$\sqrt{0}$$

Calculate the square root of 0 and get 0.

$$0$$

Factor

$$0$$