Solve =4^3-4^2+4^4:4

$$= 4 ^ { 3 } - 4 ^ { 2 } + 4 ^ { 4 } : 4$$

Evaluate

$$112$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 4 to get 3.

$$4^{3}-4^{2}+4^{3}$$

Calculate 4 to the power of 3 and get 64.

$$64-4^{2}+4^{3}$$

Calculate 4 to the power of 2 and get 16.

$$64-16+4^{3}$$

Subtract 16 from 64 to get 48.

$$48+4^{3}$$

Calculate 4 to the power of 3 and get 64.

$$48+64$$

Add 48 and 64 to get 112.

$$112$$

Factor

$$2^{4}\times 7$$