Solve 10^-21/4pi*8*85*10^-12*10*10^2

$$\frac { 10 ^ { - 21 } } { 4 \pi \cdot 8 \cdot 85 \times 10 ^ { - 12 } \times 10 \cdot 10 ^ { 2 } }$$

Evaluate

$$\frac{1}{2720000000000000\pi }\approx 1.170256934 \cdot 10^{-16}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -12 and 1 to get -11.

$$\frac{10^{-21}}{4\pi \times 8\times 85\times 10^{-11}\times 10^{2}}$$

To multiply powers of the same base, add their exponents. Add -11 and 2 to get -9.

$$\frac{10^{-21}}{4\pi \times 8\times 85\times 10^{-9}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{1}{4\times 8\times 85\pi \times 10^{12}}$$

Multiply 4 and 8 to get 32.

$$\frac{1}{32\times 85\pi \times 10^{12}}$$

Multiply 32 and 85 to get 2720.

$$\frac{1}{2720\pi \times 10^{12}}$$

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{1}{2720\pi \times 1000000000000}$$

Multiply 2720 and 1000000000000 to get 2720000000000000.

$$\frac{1}{2720000000000000\pi }$$