Solve 3,3^3+4,4^3+5,5^3

$$3,3 ^ { 3 } + 4,4 ^ { 3 } + 5,5 ^ { 3 }$$

Evaluate

$$962$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$3^{4}+4\times 4^{3}+5\times 5^{3}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$3^{4}+4^{4}+5\times 5^{3}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$3^{4}+4^{4}+5^{4}$$

Calculate 3 to the power of 4 and get 81.

$$81+4^{4}+5^{4}$$

Calculate 4 to the power of 4 and get 256.

$$81+256+5^{4}$$

Add 81 and 256 to get 337.

$$337+5^{4}$$

Calculate 5 to the power of 4 and get 625.

$$337+625$$

Add 337 and 625 to get 962.

$$962$$

Factor

$$2\times 13\times 37$$