Solve 7,84*10^-5*4*7,84*10^-10

$$7,84 \cdot 10 ^ { - 5 } \cdot 4 \cdot 7,84 \cdot 10 ^ { - 10 }$$

Evaluate

$$0,0000000000002458624$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -5 and -10 to get -15.

$$7,84\times 10^{-15}\times 4\times 7,84$$

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

$$7,84\times \frac{1}{1000000000000000}\times 4\times 7,84$$

Multiply 7,84 and \frac{1}{1000000000000000} to get \frac{49}{6250000000000000}.

$$\frac{49}{6250000000000000}\times 4\times 7,84$$

Multiply \frac{49}{6250000000000000} and 4 to get \frac{49}{1562500000000000}.

$$\frac{49}{1562500000000000}\times 7,84$$

Multiply \frac{49}{1562500000000000} and 7,84 to get \frac{2401}{9765625000000000}.

$$\frac{2401}{9765625000000000}$$

Factor

$$\frac{7 ^ {4}}{2 ^ {9} \cdot 5 ^ {19}} = 2.458624 \times 10^{-13}$$