Solve (14*7^3+2*7^4+3*49*7^2)*({7}^-1^5)

$$(14 \times { 7 }^{ 3 } +2 \times { 7 }^{ 4 } +3 \times 49 \times { 7 }^{ 2 } ) \times ( { 7 }^{ - { 1 }^{ 5 } } )$$

Evaluate

$$2401$$

Solution Steps

Calculate 7 to the power of 3 and get 343.

$$\left(14\times 343+2\times 7^{4}+3\times 49\times 7^{2}\right)\times 7^{-1^{5}}$$

Multiply 14 and 343 to get 4802.

$$\left(4802+2\times 7^{4}+3\times 49\times 7^{2}\right)\times 7^{-1^{5}}$$

Calculate 7 to the power of 4 and get 2401.

$$\left(4802+2\times 2401+3\times 49\times 7^{2}\right)\times 7^{-1^{5}}$$

Multiply 2 and 2401 to get 4802.

$$\left(4802+4802+3\times 49\times 7^{2}\right)\times 7^{-1^{5}}$$

Add 4802 and 4802 to get 9604.

$$\left(9604+3\times 49\times 7^{2}\right)\times 7^{-1^{5}}$$

Multiply 3 and 49 to get 147.

$$\left(9604+147\times 7^{2}\right)\times 7^{-1^{5}}$$

Calculate 7 to the power of 2 and get 49.

$$\left(9604+147\times 49\right)\times 7^{-1^{5}}$$

Multiply 147 and 49 to get 7203.

$$\left(9604+7203\right)\times 7^{-1^{5}}$$

Add 9604 and 7203 to get 16807.

$$16807\times 7^{-1^{5}}$$

Calculate 1 to the power of 5 and get 1.

$$16807\times 7^{-1}$$

Calculate 7 to the power of -1 and get \frac{1}{7}.

$$16807\times \frac{1}{7}$$

Multiply 16807 and \frac{1}{7} to get 2401.

$$2401$$

Factor

$$7^{4}$$