Solve (16*5^4)-(48*5^3)+(54*5^2)-(27*5)

$$(16 \times { 5 }^{ 4 } )-(48 \times { 5 }^{ 3 } )+(54 \times { 5 }^{ 2 } )-(27 \times 5)$$

Evaluate

$$5215$$

Solution Steps

Calculate 5 to the power of 4 and get 625.

$$16\times 625-48\times 5^{3}+54\times 5^{2}-27\times 5$$

Multiply 16 and 625 to get 10000.

$$10000-48\times 5^{3}+54\times 5^{2}-27\times 5$$

Calculate 5 to the power of 3 and get 125.

$$10000-48\times 125+54\times 5^{2}-27\times 5$$

Multiply 48 and 125 to get 6000.

$$10000-6000+54\times 5^{2}-27\times 5$$

Subtract 6000 from 10000 to get 4000.

$$4000+54\times 5^{2}-27\times 5$$

Calculate 5 to the power of 2 and get 25.

$$4000+54\times 25-27\times 5$$

Multiply 54 and 25 to get 1350.

$$4000+1350-27\times 5$$

Add 4000 and 1350 to get 5350.

$$5350-27\times 5$$

Multiply 27 and 5 to get 135.

$$5350-135$$

Subtract 135 from 5350 to get 5215.

$$5215$$

Factor

$$5\times 7\times 149$$