Solve (5.28*10^-6)^2/45-5.28*10^-6=

$$\frac { ( 5.28 \cdot 10 ^ { - 6 } ) ^ { 2 } } { 45 - 5.28 \cdot 10 ^ { - 6 } } =$$

Evaluate

$$\frac{363}{585937431250000}\approx 6.195200727 \cdot 10^{-13}$$

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\left(5.28\times \frac{1}{1000000}\right)^{2}}{45-5.28\times 10^{-6}}$$

Multiply 5.28 and \frac{1}{1000000} to get \frac{33}{6250000}.

$$\frac{\left(\frac{33}{6250000}\right)^{2}}{45-5.28\times 10^{-6}}$$

Calculate \frac{33}{6250000} to the power of 2 and get \frac{1089}{39062500000000}.

$$\frac{\frac{1089}{39062500000000}}{45-5.28\times 10^{-6}}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\frac{1089}{39062500000000}}{45-5.28\times \frac{1}{1000000}}$$

Multiply 5.28 and \frac{1}{1000000} to get \frac{33}{6250000}.

$$\frac{\frac{1089}{39062500000000}}{45-\frac{33}{6250000}}$$

Subtract \frac{33}{6250000} from 45 to get \frac{281249967}{6250000}.

$$\frac{\frac{1089}{39062500000000}}{\frac{281249967}{6250000}}$$

Divide \frac{1089}{39062500000000} by \frac{281249967}{6250000} by multiplying \frac{1089}{39062500000000} by the reciprocal of \frac{281249967}{6250000}.

$$\frac{1089}{39062500000000}\times \frac{6250000}{281249967}$$

Multiply \frac{1089}{39062500000000} and \frac{6250000}{281249967} to get \frac{363}{585937431250000}.

$$\frac{363}{585937431250000}$$

Factor

$$\frac{3 \cdot 11 ^ {2}}{977 \cdot 95957 \cdot 2 ^ {4} \cdot 5 ^ {8}} = 6.195200726903552 \times 10^{-13}$$