Solve 56/5+left(3^2right)^6+41/12^323+4sqrt{25}=

$$\frac{ 56 }{ 5+ { \left( { 3 }^{ 2 } \right) }^{ 6 } } + \frac{ 41 }{ { 12 }^{ 3 } } 23+4 \sqrt{ 25 } =$$

Evaluate

$$\frac{9434012053}{459169344}\approx 20.545822965$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 6 to get 12.

$$\frac{56}{5+3^{12}}+\frac{41}{12^{3}}\times 23+4\sqrt{25}$$

Calculate 3 to the power of 12 and get 531441.

$$\frac{56}{5+531441}+\frac{41}{12^{3}}\times 23+4\sqrt{25}$$

Add 5 and 531441 to get 531446.

$$\frac{56}{531446}+\frac{41}{12^{3}}\times 23+4\sqrt{25}$$

Reduce the fraction \frac{56}{531446} to lowest terms by extracting and canceling out 2.

$$\frac{28}{265723}+\frac{41}{12^{3}}\times 23+4\sqrt{25}$$

Calculate 12 to the power of 3 and get 1728.

$$\frac{28}{265723}+\frac{41}{1728}\times 23+4\sqrt{25}$$

Multiply \frac{41}{1728} and 23 to get \frac{943}{1728}.

$$\frac{28}{265723}+\frac{943}{1728}+4\sqrt{25}$$

Add \frac{28}{265723} and \frac{943}{1728} to get \frac{250625173}{459169344}.

$$\frac{250625173}{459169344}+4\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$\frac{250625173}{459169344}+4\times 5$$

Multiply 4 and 5 to get 20.

$$\frac{250625173}{459169344}+20$$

Add \frac{250625173}{459169344} and 20 to get \frac{9434012053}{459169344}.

$$\frac{9434012053}{459169344}$$

Factor

$$\frac{29033 \cdot 324941}{2 ^ {6} \cdot 3 ^ {3} \cdot 467 \cdot 569} = 20\frac{250625173}{459169344} = 20.5458229654809$$