Solve 22/70.75^20.2

$$\frac{ 22 }{ 7 } { 0.75 }^{ 2 } 0.2$$

Evaluate

$$\frac{99}{280}\approx 0.353571429$$

Solution Steps

Calculate 0.75 to the power of 2 and get 0.5625.

$$\frac{22}{7}\times 0.5625\times 0.2$$

Convert decimal number 0.5625 to fraction \frac{5625}{10000}. Reduce the fraction \frac{5625}{10000} to lowest terms by extracting and canceling out 625.

$$\frac{22}{7}\times \frac{9}{16}\times 0.2$$

Multiply \frac{22}{7} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 9}{7\times 16}\times 0.2$$

Do the multiplications in the fraction \frac{22\times 9}{7\times 16}.

$$\frac{198}{112}\times 0.2$$

Reduce the fraction \frac{198}{112} to lowest terms by extracting and canceling out 2.

$$\frac{99}{56}\times 0.2$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{99}{56}\times \frac{1}{5}$$

Multiply \frac{99}{56} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{99\times 1}{56\times 5}$$

Do the multiplications in the fraction \frac{99\times 1}{56\times 5}.

$$\frac{99}{280}$$

Factor

$$\frac{11 \cdot 3 ^ {2}}{5 \cdot 7 \cdot 2 ^ {3}} = 0.3535714285714286$$