Solve sqrt[4]{0.04*0.4/4*10^10}

$$\sqrt[ 4 ]{ \frac{ 0.04 \times 0.4 }{ 4 \times { 10 }^{ 10 } } }$$

Evaluate

$$\frac{40^{0.75}}{20000}\approx 0.000795271$$

Solution Steps

Multiply 0.04 and 0.4 to get 0.016.

$$\sqrt[4]{\frac{0.016}{4\times 10^{10}}}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\sqrt[4]{\frac{0.016}{4\times 10000000000}}$$

Multiply 4 and 10000000000 to get 40000000000.

$$\sqrt[4]{\frac{0.016}{40000000000}}$$

Expand \frac{0.016}{40000000000} by multiplying both numerator and the denominator by 1000.

$$\sqrt[4]{\frac{16}{40000000000000}}$$

Reduce the fraction \frac{16}{40000000000000} to lowest terms by extracting and canceling out 16.

$$\sqrt[4]{\frac{1}{2500000000000}}$$