Solve 9%7.7%7.7%74

$$9 \% 7.7 \% 7.7 \% 74$$

Evaluate

$$0.03948714$$

Solution Steps

Multiply \frac{7.7}{100} and \frac{7.7}{100} to get \left(\frac{7.7}{100}\right)^{2}.

$$\frac{9}{100}\times \left(\frac{7.7}{100}\right)^{2}\times 74$$

Expand \frac{7.7}{100} by multiplying both numerator and the denominator by 10.

$$\frac{9}{100}\times \left(\frac{77}{1000}\right)^{2}\times 74$$

Calculate \frac{77}{1000} to the power of 2 and get \frac{5929}{1000000}.

$$\frac{9}{100}\times \frac{5929}{1000000}\times 74$$

Multiply \frac{9}{100} times \frac{5929}{1000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 5929}{100\times 1000000}\times 74$$

Do the multiplications in the fraction \frac{9\times 5929}{100\times 1000000}.

$$\frac{53361}{100000000}\times 74$$

Express \frac{53361}{100000000}\times 74 as a single fraction.

$$\frac{53361\times 74}{100000000}$$

Multiply 53361 and 74 to get 3948714.

$$\frac{3948714}{100000000}$$

Reduce the fraction \frac{3948714}{100000000} to lowest terms by extracting and canceling out 2.

$$\frac{1974357}{50000000}$$

Factor

$$\frac{37 \cdot 3 ^ {2} \cdot 7 ^ {2} \cdot 11 ^ {2}}{2 ^ {7} \cdot 5 ^ {8}} = 0.03948714$$