Solve A=frac{4^{6}*9^{3}+6^9*120}{-8^4*3^12-6^11}

$$A = \frac { 4 ^ { 6 } \cdot 9 ^ { 3 } + 6 ^ { 9 } \cdot 120 } { - 8 ^ { 4 } \cdot 3 ^ { 12 } - 6 ^ { 11 } }$$

Solve for A

$$A=-\frac{116}{243}\approx -0.477366255$$

Steps for Solving Linear Equation

Calculate 4 to the power of 6 and get 4096.

$$A=\frac{4096\times 9^{3}+6^{9}\times 120}{\left(-8^{4}\right)\times 3^{12}-6^{11}}$$

Calculate 9 to the power of 3 and get 729.

$$A=\frac{4096\times 729+6^{9}\times 120}{\left(-8^{4}\right)\times 3^{12}-6^{11}}$$

Multiply 4096 and 729 to get 2985984.

$$A=\frac{2985984+6^{9}\times 120}{\left(-8^{4}\right)\times 3^{12}-6^{11}}$$

Calculate 6 to the power of 9 and get 10077696.

$$A=\frac{2985984+10077696\times 120}{\left(-8^{4}\right)\times 3^{12}-6^{11}}$$

Multiply 10077696 and 120 to get 1209323520.

$$A=\frac{2985984+1209323520}{\left(-8^{4}\right)\times 3^{12}-6^{11}}$$

Add 2985984 and 1209323520 to get 1212309504.

$$A=\frac{1212309504}{\left(-8^{4}\right)\times 3^{12}-6^{11}}$$

Calculate 8 to the power of 4 and get 4096.

$$A=\frac{1212309504}{-4096\times 3^{12}-6^{11}}$$

Calculate 3 to the power of 12 and get 531441.

$$A=\frac{1212309504}{-4096\times 531441-6^{11}}$$

Multiply -4096 and 531441 to get -2176782336.

$$A=\frac{1212309504}{-2176782336-6^{11}}$$

Calculate 6 to the power of 11 and get 362797056.

$$A=\frac{1212309504}{-2176782336-362797056}$$

Subtract 362797056 from -2176782336 to get -2539579392.

$$A=\frac{1212309504}{-2539579392}$$

Reduce the fraction \frac{1212309504}{-2539579392} to lowest terms by extracting and canceling out 10450944.

$$A=-\frac{116}{243}$$

Assign A

$$A≔-\frac{116}{243}$$