Solve 2.654*10^-5*7.201*10^-6div4.531*10^-4

$$2.654 \times 10 ^ { - 5 } \times 7.201 \times 10 ^ { - 6 } \div 4.531 \times 10 ^ { - 4 }$$

Evaluate

$$\frac{9555727}{2265500000000000000000}\approx 4.217932907 \cdot 10^{-15}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -5 and -6 to get -11.

$$\frac{2.654\times 10^{-11}\times 7.201}{4.531}\times 10^{-4}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{2.654\times \frac{1}{100000000000}\times 7.201}{4.531}\times 10^{-4}$$

Multiply 2.654 and \frac{1}{100000000000} to get \frac{1327}{50000000000000}.

$$\frac{\frac{1327}{50000000000000}\times 7.201}{4.531}\times 10^{-4}$$

Multiply \frac{1327}{50000000000000} and 7.201 to get \frac{9555727}{50000000000000000}.

$$\frac{\frac{9555727}{50000000000000000}}{4.531}\times 10^{-4}$$

Express \frac{\frac{9555727}{50000000000000000}}{4.531} as a single fraction.

$$\frac{9555727}{50000000000000000\times 4.531}\times 10^{-4}$$

Multiply 50000000000000000 and 4.531 to get 226550000000000000.

$$\frac{9555727}{226550000000000000}\times 10^{-4}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{9555727}{226550000000000000}\times \frac{1}{10000}$$

Multiply \frac{9555727}{226550000000000000} and \frac{1}{10000} to get \frac{9555727}{2265500000000000000000}.

$$\frac{9555727}{2265500000000000000000}$$

Factor

$$\frac{19 \cdot 379 \cdot 1327}{23 \cdot 197 \cdot 2 ^ {17} \cdot 5 ^ {18}} = 4.217932906643125 \times 10^{-15}$$