Solve frac{4sqrt{2}}{9}*10^-2

$$\frac { 4 \sqrt { 2 } } { 9 } \cdot 10 ^ { - 2 }$$

Evaluate

$$\frac{\sqrt{2}}{225}\approx 0.006285394$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{4\sqrt{2}}{9}\times \frac{1}{100}$$

Multiply \frac{4\sqrt{2}}{9} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\sqrt{2}}{9\times 100}$$

Cancel out 4 in both numerator and denominator.

$$\frac{\sqrt{2}}{9\times 25}$$

Multiply 9 and 25 to get 225.

$$\frac{\sqrt{2}}{225}$$