Solve 83^43^11-93^12/463^14

$$\frac{ 8 { 3 }^{ 4 } { 3 }^{ 11 } -9 { 3 }^{ 12 } }{ 46 { 3 }^{ 14 } }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 11 to get 15.

$$\frac{8\times 3^{15}-9\times 3^{12}}{46\times 3^{14}}$$

Calculate 3 to the power of 15 and get 14348907.

$$\frac{8\times 14348907-9\times 3^{12}}{46\times 3^{14}}$$

Multiply 8 and 14348907 to get 114791256.

$$\frac{114791256-9\times 3^{12}}{46\times 3^{14}}$$

Calculate 3 to the power of 12 and get 531441.

$$\frac{114791256-9\times 531441}{46\times 3^{14}}$$

Multiply 9 and 531441 to get 4782969.

$$\frac{114791256-4782969}{46\times 3^{14}}$$

Subtract 4782969 from 114791256 to get 110008287.

$$\frac{110008287}{46\times 3^{14}}$$

Calculate 3 to the power of 14 and get 4782969.

$$\frac{110008287}{46\times 4782969}$$

Multiply 46 and 4782969 to get 220016574.

$$\frac{110008287}{220016574}$$

Reduce the fraction \frac{110008287}{220016574} to lowest terms by extracting and canceling out 110008287.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$