Solve (168*10^-2)^2/9.8

$$\frac { ( 168 \times 10 ^ { - 2 } ) ^ { 2 } } { 9.8 }$$

Evaluate

$$0.288$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{\left(168\times \frac{1}{100}\right)^{2}}{9.8}$$

Multiply 168 and \frac{1}{100} to get \frac{42}{25}.

$$\frac{\left(\frac{42}{25}\right)^{2}}{9.8}$$

Calculate \frac{42}{25} to the power of 2 and get \frac{1764}{625}.

$$\frac{\frac{1764}{625}}{9.8}$$

Express \frac{\frac{1764}{625}}{9.8} as a single fraction.

$$\frac{1764}{625\times 9.8}$$

Multiply 625 and 9.8 to get 6125.

$$\frac{1764}{6125}$$

Reduce the fraction \frac{1764}{6125} to lowest terms by extracting and canceling out 49.

$$\frac{36}{125}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5 ^ {3}} = 0.288$$