Solve (5*16-3*3^14+7*3^15-4*3^16)div3=

$$(5 \times 16-3 \times { 3 }^{ 14 } +7 \times { 3 }^{ 15 } -4 \times { 3 }^{ 16 } ) \div 3=$$

Evaluate

$$-\frac{86093362}{3}\approx -28697787.333333333$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 14 to get 15.

$$\frac{5\times 16-3^{15}+7\times 3^{15}-4\times 3^{16}}{3}$$

Multiply 5 and 16 to get 80.

$$\frac{80-3^{15}+7\times 3^{15}-4\times 3^{16}}{3}$$

Calculate 3 to the power of 15 and get 14348907.

$$\frac{80-14348907+7\times 3^{15}-4\times 3^{16}}{3}$$

Subtract 14348907 from 80 to get -14348827.

$$\frac{-14348827+7\times 3^{15}-4\times 3^{16}}{3}$$

Calculate 3 to the power of 15 and get 14348907.

$$\frac{-14348827+7\times 14348907-4\times 3^{16}}{3}$$

Multiply 7 and 14348907 to get 100442349.

$$\frac{-14348827+100442349-4\times 3^{16}}{3}$$

Add -14348827 and 100442349 to get 86093522.

$$\frac{86093522-4\times 3^{16}}{3}$$

Calculate 3 to the power of 16 and get 43046721.

$$\frac{86093522-4\times 43046721}{3}$$

Multiply 4 and 43046721 to get 172186884.

$$\frac{86093522-172186884}{3}$$

Subtract 172186884 from 86093522 to get -86093362.

$$\frac{-86093362}{3}$$

Fraction \frac{-86093362}{3} can be rewritten as -\frac{86093362}{3} by extracting the negative sign.

$$-\frac{86093362}{3}$$

Factor

$$-\frac{86093362}{3} = -28697787\frac{1}{3} = -28697787.333333332$$