Solve 1.11/0.92*1.015^20.95^2

$$1.1 \frac{ 1 }{ 0.92 } \times { 1.015 }^{ 2 } { 0.95 }^{ 2 }$$

Evaluate

$$\frac{7482853847}{3680000000}\approx 2.033384198$$

Solution Steps

Multiply 1.1 and 0.92 to get 1.012.

$$\frac{1.012+1}{0.92}\times 1.015^{2}\times 0.95^{2}$$

Add 1.012 and 1 to get 2.012.

$$\frac{2.012}{0.92}\times 1.015^{2}\times 0.95^{2}$$

Expand \frac{2.012}{0.92} by multiplying both numerator and the denominator by 1000.

$$\frac{2012}{920}\times 1.015^{2}\times 0.95^{2}$$

Reduce the fraction \frac{2012}{920} to lowest terms by extracting and canceling out 4.

$$\frac{503}{230}\times 1.015^{2}\times 0.95^{2}$$

Calculate 1.015 to the power of 2 and get 1.030225.

$$\frac{503}{230}\times 1.030225\times 0.95^{2}$$

Convert decimal number 1.030225 to fraction \frac{1030225}{1000000}. Reduce the fraction \frac{1030225}{1000000} to lowest terms by extracting and canceling out 25.

$$\frac{503}{230}\times \frac{41209}{40000}\times 0.95^{2}$$

Multiply \frac{503}{230} times \frac{41209}{40000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{503\times 41209}{230\times 40000}\times 0.95^{2}$$

Do the multiplications in the fraction \frac{503\times 41209}{230\times 40000}.

$$\frac{20728127}{9200000}\times 0.95^{2}$$

Calculate 0.95 to the power of 2 and get 0.9025.

$$\frac{20728127}{9200000}\times 0.9025$$

Convert decimal number 0.9025 to fraction \frac{9025}{10000}. Reduce the fraction \frac{9025}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{20728127}{9200000}\times \frac{361}{400}$$

Multiply \frac{20728127}{9200000} times \frac{361}{400} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20728127\times 361}{9200000\times 400}$$

Do the multiplications in the fraction \frac{20728127\times 361}{9200000\times 400}.

$$\frac{7482853847}{3680000000}$$

Factor

$$\frac{503 \cdot 7 ^ {2} \cdot 19 ^ {2} \cdot 29 ^ {2}}{23 \cdot 2 ^ {11} \cdot 5 ^ {7}} = 2\frac{122853847}{3680000000} = 2.033384197554348$$