Solve 33^5-1253^3+2160*3

$$3 { 3 }^{ 5 } -125 { 3 }^{ 3 } +2160 \times 3$$

Evaluate

$$3834$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 5 to get 6.

$$3^{6}-125\times 3^{3}+2160\times 3$$

Calculate 3 to the power of 6 and get 729.

$$729-125\times 3^{3}+2160\times 3$$

Calculate 3 to the power of 3 and get 27.

$$729-125\times 27+2160\times 3$$

Multiply 125 and 27 to get 3375.

$$729-3375+2160\times 3$$

Subtract 3375 from 729 to get -2646.

$$-2646+2160\times 3$$

Multiply 2160 and 3 to get 6480.

$$-2646+6480$$

Add -2646 and 6480 to get 3834.

$$3834$$

Factor

$$2\times 3^{3}\times 71$$