Solve 4*10^-3pi*8.9*10^-12/0.01

$$\frac { 4 \times 10 ^ { - 3 } \pi \times 8.9 \times 10 ^ { - 12 } } { 0.01 }$$

Evaluate

$$\frac{89\pi }{25000000000000}\approx 1.118406985 \cdot 10^{-11}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and -12 to get -15.

$$\frac{4\times 10^{-15}\pi \times 8.9}{0.01}$$

Calculate 10 to the power of -15 and get \frac{1}{1000000000000000}.

$$\frac{4\times \frac{1}{1000000000000000}\pi \times 8.9}{0.01}$$

Multiply 4 and \frac{1}{1000000000000000} to get \frac{1}{250000000000000}.

$$\frac{\frac{1}{250000000000000}\pi \times 8.9}{0.01}$$

Multiply \frac{1}{250000000000000} and 8.9 to get \frac{89}{2500000000000000}.

$$\frac{\frac{89}{2500000000000000}\pi }{0.01}$$

Divide \frac{89}{2500000000000000}\pi by 0.01 to get \frac{89}{25000000000000}\pi .

$$\frac{89}{25000000000000}\pi$$